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Finding the Fourth Proportional to 2,712.27, 3,742.95 and 1,470.27

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Solution

The fourth proportional to 2,712.27, 3,742.95 and 1,470.27 is: 2,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.27 : 3,742.95 = 1,470.27 : x
  2. Step 2: Convert to fraction form
    2,712.27/3,742.95 = 1,470.27/x
  3. Step 3: Cross multiply
    2,712.27x = 3,742.95 × 1,470.27
  4. Step 4: Simplify right side
    2,712.27x = 5,503,147.10
  5. Step 5: Solve for x
    x = 5,503,147.10/2,712.27
  6. Step 6: Final answer
    x = 2,028.98

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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.