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Finding the Fourth Proportional to 2,712.43, 3,743.16 and 1,470.43

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Solution

The fourth proportional to 2,712.43, 3,743.16 and 1,470.43 is: 2,029.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.43 : 3,743.16 = 1,470.43 : x
  2. Step 2: Convert to fraction form
    2,712.43/3,743.16 = 1,470.43/x
  3. Step 3: Cross multiply
    2,712.43x = 3,743.16 × 1,470.43
  4. Step 4: Simplify right side
    2,712.43x = 5,504,054.76
  5. Step 5: Solve for x
    x = 5,504,054.76/2,712.43
  6. Step 6: Final answer
    x = 2,029.20

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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.