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Finding the Fourth Proportional to 2,980.61, 4,472.71 and 1,034.18

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Solution

The fourth proportional to 2,980.61, 4,472.71 and 1,034.18 is: 1,551.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.61 : 4,472.71 = 1,034.18 : x
  2. Step 2: Convert to fraction form
    2,980.61/4,472.71 = 1,034.18/x
  3. Step 3: Cross multiply
    2,980.61x = 4,472.71 × 1,034.18
  4. Step 4: Simplify right side
    2,980.61x = 4,625,562.28
  5. Step 5: Solve for x
    x = 4,625,562.28/2,980.61
  6. Step 6: Final answer
    x = 1,551.89

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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.