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Finding the Fourth Proportional to 2,041.14, 3,061.71 and 502.14

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Solution

The fourth proportional to 2,041.14, 3,061.71 and 502.14 is: 753.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.14 : 3,061.71 = 502.14 : x
  2. Step 2: Convert to fraction form
    2,041.14/3,061.71 = 502.14/x
  3. Step 3: Cross multiply
    2,041.14x = 3,061.71 × 502.14
  4. Step 4: Simplify right side
    2,041.14x = 1,537,407.06
  5. Step 5: Solve for x
    x = 1,537,407.06/2,041.14
  6. Step 6: Final answer
    x = 753.21

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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.