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Finding the Fourth Proportional to 1,253.28, 1,714.18 and 1,233.12

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Solution

The fourth proportional to 1,253.28, 1,714.18 and 1,233.12 is: 1,686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.28 : 1,714.18 = 1,233.12 : x
  2. Step 2: Convert to fraction form
    1,253.28/1,714.18 = 1,233.12/x
  3. Step 3: Cross multiply
    1,253.28x = 1,714.18 × 1,233.12
  4. Step 4: Simplify right side
    1,253.28x = 2,113,789.64
  5. Step 5: Solve for x
    x = 2,113,789.64/1,253.28
  6. Step 6: Final answer
    x = 1,686.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.