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Finding the Fourth Proportional to 2,041.30, 3,061.94 and 560.52

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Solution

The fourth proportional to 2,041.30, 3,061.94 and 560.52 is: 840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.30 : 3,061.94 = 560.52 : x
  2. Step 2: Convert to fraction form
    2,041.30/3,061.94 = 560.52/x
  3. Step 3: Cross multiply
    2,041.30x = 3,061.94 × 560.52
  4. Step 4: Simplify right side
    2,041.30x = 1,716,278.61
  5. Step 5: Solve for x
    x = 1,716,278.61/2,041.30
  6. Step 6: Final answer
    x = 840.78

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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.