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Finding the Fourth Proportional to 3,102.76, 4,276.20 and 2,514.70

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Solution

The fourth proportional to 3,102.76, 4,276.20 and 2,514.70 is: 3,465.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.76 : 4,276.20 = 2,514.70 : x
  2. Step 2: Convert to fraction form
    3,102.76/4,276.20 = 2,514.70/x
  3. Step 3: Cross multiply
    3,102.76x = 4,276.20 × 2,514.70
  4. Step 4: Simplify right side
    3,102.76x = 10,753,360.14
  5. Step 5: Solve for x
    x = 10,753,360.14/3,102.76
  6. Step 6: Final answer
    x = 3,465.74

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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.