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Finding the Fourth Proportional to 2,712.76, 4,069.14 and 957.83

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Solution

The fourth proportional to 2,712.76, 4,069.14 and 957.83 is: 1,436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.76 : 4,069.14 = 957.83 : x
  2. Step 2: Convert to fraction form
    2,712.76/4,069.14 = 957.83/x
  3. Step 3: Cross multiply
    2,712.76x = 4,069.14 × 957.83
  4. Step 4: Simplify right side
    2,712.76x = 3,897,520.43
  5. Step 5: Solve for x
    x = 3,897,520.43/2,712.76
  6. Step 6: Final answer
    x = 1,436.74

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Why These Related Problems?

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