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Finding the Fourth Proportional to 2,714.52, 4,071.96 and 959.76

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Solution

The fourth proportional to 2,714.52, 4,071.96 and 959.76 is: 1,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.52 : 4,071.96 = 959.76 : x
  2. Step 2: Convert to fraction form
    2,714.52/4,071.96 = 959.76/x
  3. Step 3: Cross multiply
    2,714.52x = 4,071.96 × 959.76
  4. Step 4: Simplify right side
    2,714.52x = 3,908,104.33
  5. Step 5: Solve for x
    x = 3,908,104.33/2,714.52
  6. Step 6: Final answer
    x = 1,439.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.