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Finding the Fourth Proportional to 2,712.25, 3,742.91 and 1,470.25

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Solution

The fourth proportional to 2,712.25, 3,742.91 and 1,470.25 is: 2,028.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.25 : 3,742.91 = 1,470.25 : x
  2. Step 2: Convert to fraction form
    2,712.25/3,742.91 = 1,470.25/x
  3. Step 3: Cross multiply
    2,712.25x = 3,742.91 × 1,470.25
  4. Step 4: Simplify right side
    2,712.25x = 5,503,006.08
  5. Step 5: Solve for x
    x = 5,503,006.08/2,712.25
  6. Step 6: Final answer
    x = 2,028.95

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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.