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Finding the Fourth Proportional to 3,061.86, 4,593.24 and 981.69

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Solution

The fourth proportional to 3,061.86, 4,593.24 and 981.69 is: 1,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.86 : 4,593.24 = 981.69 : x
  2. Step 2: Convert to fraction form
    3,061.86/4,593.24 = 981.69/x
  3. Step 3: Cross multiply
    3,061.86x = 4,593.24 × 981.69
  4. Step 4: Simplify right side
    3,061.86x = 4,509,137.78
  5. Step 5: Solve for x
    x = 4,509,137.78/3,061.86
  6. Step 6: Final answer
    x = 1,472.68

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