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Finding the Fourth Proportional to 2,714.82, 3,746.48 and 1,472.82

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Solution

The fourth proportional to 2,714.82, 3,746.48 and 1,472.82 is: 2,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.82 : 3,746.48 = 1,472.82 : x
  2. Step 2: Convert to fraction form
    2,714.82/3,746.48 = 1,472.82/x
  3. Step 3: Cross multiply
    2,714.82x = 3,746.48 × 1,472.82
  4. Step 4: Simplify right side
    2,714.82x = 5,517,883.31
  5. Step 5: Solve for x
    x = 5,517,883.31/2,714.82
  6. Step 6: Final answer
    x = 2,032.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.