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Finding the Fourth Proportional to 3,061.59, 4,592.30 and 981.74

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Solution

The fourth proportional to 3,061.59, 4,592.30 and 981.74 is: 1,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.59 : 4,592.30 = 981.74 : x
  2. Step 2: Convert to fraction form
    3,061.59/4,592.30 = 981.74/x
  3. Step 3: Cross multiply
    3,061.59x = 4,592.30 × 981.74
  4. Step 4: Simplify right side
    3,061.59x = 4,508,424.09
  5. Step 5: Solve for x
    x = 4,508,424.09/3,061.59
  6. Step 6: Final answer
    x = 1,472.58

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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.