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Finding the Fourth Proportional to 2,476.76, 3,714.27 and 721.28

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Solution

The fourth proportional to 2,476.76, 3,714.27 and 721.28 is: 1,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.76 : 3,714.27 = 721.28 : x
  2. Step 2: Convert to fraction form
    2,476.76/3,714.27 = 721.28/x
  3. Step 3: Cross multiply
    2,476.76x = 3,714.27 × 721.28
  4. Step 4: Simplify right side
    2,476.76x = 2,679,010.09
  5. Step 5: Solve for x
    x = 2,679,010.09/2,476.76
  6. Step 6: Final answer
    x = 1,081.66

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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.