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Finding the Fourth Proportional to 2,509.65, 3,764.48 and 1,962.29

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Solution

The fourth proportional to 2,509.65, 3,764.48 and 1,962.29 is: 2,943.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.65 : 3,764.48 = 1,962.29 : x
  2. Step 2: Convert to fraction form
    2,509.65/3,764.48 = 1,962.29/x
  3. Step 3: Cross multiply
    2,509.65x = 3,764.48 × 1,962.29
  4. Step 4: Simplify right side
    2,509.65x = 7,387,001.06
  5. Step 5: Solve for x
    x = 7,387,001.06/2,509.65
  6. Step 6: Final answer
    x = 2,943.44

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.