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Finding the Fourth Proportional to 2,472.17, 3,705.37 and 1,498.91

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Solution

The fourth proportional to 2,472.17, 3,705.37 and 1,498.91 is: 2,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.17 : 3,705.37 = 1,498.91 : x
  2. Step 2: Convert to fraction form
    2,472.17/3,705.37 = 1,498.91/x
  3. Step 3: Cross multiply
    2,472.17x = 3,705.37 × 1,498.91
  4. Step 4: Simplify right side
    2,472.17x = 5,553,993.87
  5. Step 5: Solve for x
    x = 5,553,993.87/2,472.17
  6. Step 6: Final answer
    x = 2,246.61

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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.