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Finding the Fourth Proportional to 3,060.91, 4,591.68 and 980.40

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Solution

The fourth proportional to 3,060.91, 4,591.68 and 980.40 is: 1,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,060.91 : 4,591.68 = 980.40 : x
  2. Step 2: Convert to fraction form
    3,060.91/4,591.68 = 980.40/x
  3. Step 3: Cross multiply
    3,060.91x = 4,591.68 × 980.40
  4. Step 4: Simplify right side
    3,060.91x = 4,501,683.07
  5. Step 5: Solve for x
    x = 4,501,683.07/3,060.91
  6. Step 6: Final answer
    x = 1,470.70

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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.