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Finding the Fourth Proportional to 3,061.39, 4,592.78 and 981.58

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Solution

The fourth proportional to 3,061.39, 4,592.78 and 981.58 is: 1,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.39 : 4,592.78 = 981.58 : x
  2. Step 2: Convert to fraction form
    3,061.39/4,592.78 = 981.58/x
  3. Step 3: Cross multiply
    3,061.39x = 4,592.78 × 981.58
  4. Step 4: Simplify right side
    3,061.39x = 4,508,176.08
  5. Step 5: Solve for x
    x = 4,508,176.08/3,061.39
  6. Step 6: Final answer
    x = 1,472.59

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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.