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Finding the Fourth Proportional to 2,714.72, 3,746.86 and 1,536.17

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Solution

The fourth proportional to 2,714.72, 3,746.86 and 1,536.17 is: 2,120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.72 : 3,746.86 = 1,536.17 : x
  2. Step 2: Convert to fraction form
    2,714.72/3,746.86 = 1,536.17/x
  3. Step 3: Cross multiply
    2,714.72x = 3,746.86 × 1,536.17
  4. Step 4: Simplify right side
    2,714.72x = 5,755,791.35
  5. Step 5: Solve for x
    x = 5,755,791.35/2,714.72
  6. Step 6: Final answer
    x = 2,120.22

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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.