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Finding the Fourth Proportional to 2,714.97, 3,746.82 and 1,536.15

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Solution

The fourth proportional to 2,714.97, 3,746.82 and 1,536.15 is: 2,119.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.97 : 3,746.82 = 1,536.15 : x
  2. Step 2: Convert to fraction form
    2,714.97/3,746.82 = 1,536.15/x
  3. Step 3: Cross multiply
    2,714.97x = 3,746.82 × 1,536.15
  4. Step 4: Simplify right side
    2,714.97x = 5,755,677.54
  5. Step 5: Solve for x
    x = 5,755,677.54/2,714.97
  6. Step 6: Final answer
    x = 2,119.98

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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.