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Finding the Fourth Proportional to 2,714.80, 3,746.28 and 1,536.08

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Solution

The fourth proportional to 2,714.80, 3,746.28 and 1,536.08 is: 2,119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.80 : 3,746.28 = 1,536.08 : x
  2. Step 2: Convert to fraction form
    2,714.80/3,746.28 = 1,536.08/x
  3. Step 3: Cross multiply
    2,714.80x = 3,746.28 × 1,536.08
  4. Step 4: Simplify right side
    2,714.80x = 5,754,585.78
  5. Step 5: Solve for x
    x = 5,754,585.78/2,714.80
  6. Step 6: Final answer
    x = 2,119.71

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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.