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Finding the Fourth Proportional to 2,714.91, 3,746.69 and 1,536.09

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Solution

The fourth proportional to 2,714.91, 3,746.69 and 1,536.09 is: 2,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.91 : 3,746.69 = 1,536.09 : x
  2. Step 2: Convert to fraction form
    2,714.91/3,746.69 = 1,536.09/x
  3. Step 3: Cross multiply
    2,714.91x = 3,746.69 × 1,536.09
  4. Step 4: Simplify right side
    2,714.91x = 5,755,253.04
  5. Step 5: Solve for x
    x = 5,755,253.04/2,714.91
  6. Step 6: Final answer
    x = 2,119.87

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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.