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Finding the Fourth Proportional to 2,275.92, 3,139.92 and 1,577.88

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Solution

The fourth proportional to 2,275.92, 3,139.92 and 1,577.88 is: 2,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.92 : 3,139.92 = 1,577.88 : x
  2. Step 2: Convert to fraction form
    2,275.92/3,139.92 = 1,577.88/x
  3. Step 3: Cross multiply
    2,275.92x = 3,139.92 × 1,577.88
  4. Step 4: Simplify right side
    2,275.92x = 4,954,416.97
  5. Step 5: Solve for x
    x = 4,954,416.97/2,275.92
  6. Step 6: Final answer
    x = 2,176.89

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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.