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Finding the Fourth Proportional to 2,501.82, 3,752.73 and 963.18

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Solution

The fourth proportional to 2,501.82, 3,752.73 and 963.18 is: 1,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.82 : 3,752.73 = 963.18 : x
  2. Step 2: Convert to fraction form
    2,501.82/3,752.73 = 963.18/x
  3. Step 3: Cross multiply
    2,501.82x = 3,752.73 × 963.18
  4. Step 4: Simplify right side
    2,501.82x = 3,614,554.48
  5. Step 5: Solve for x
    x = 3,614,554.48/2,501.82
  6. Step 6: Final answer
    x = 1,444.77

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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.