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Finding the Fourth Proportional to 2,171.13, 3,255.68 and 784.08

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Solution

The fourth proportional to 2,171.13, 3,255.68 and 784.08 is: 1,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.13 : 3,255.68 = 784.08 : x
  2. Step 2: Convert to fraction form
    2,171.13/3,255.68 = 784.08/x
  3. Step 3: Cross multiply
    2,171.13x = 3,255.68 × 784.08
  4. Step 4: Simplify right side
    2,171.13x = 2,552,709.65
  5. Step 5: Solve for x
    x = 2,552,709.65/2,171.13
  6. Step 6: Final answer
    x = 1,175.75

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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.