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Finding the Fourth Proportional to 2,712.32, 3,743 and 1,470.32

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Solution

The fourth proportional to 2,712.32, 3,743 and 1,470.32 is: 2,029.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.32 : 3,743 = 1,470.32 : x
  2. Step 2: Convert to fraction form
    2,712.32/3,743 = 1,470.32/x
  3. Step 3: Cross multiply
    2,712.32x = 3,743 × 1,470.32
  4. Step 4: Simplify right side
    2,712.32x = 5,503,407.76
  5. Step 5: Solve for x
    x = 5,503,407.76/2,712.32
  6. Step 6: Final answer
    x = 2,029.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.