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Finding the Fourth Proportional to 2,470.83, 3,702.15 and 1,494.91

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Solution

The fourth proportional to 2,470.83, 3,702.15 and 1,494.91 is: 2,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.83 : 3,702.15 = 1,494.91 : x
  2. Step 2: Convert to fraction form
    2,470.83/3,702.15 = 1,494.91/x
  3. Step 3: Cross multiply
    2,470.83x = 3,702.15 × 1,494.91
  4. Step 4: Simplify right side
    2,470.83x = 5,534,381.06
  5. Step 5: Solve for x
    x = 5,534,381.06/2,470.83
  6. Step 6: Final answer
    x = 2,239.89

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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.