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Finding the Fourth Proportional to 2,557.92, 3,527.44 and 1,967.20

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Solution

The fourth proportional to 2,557.92, 3,527.44 and 1,967.20 is: 2,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.92 : 3,527.44 = 1,967.20 : x
  2. Step 2: Convert to fraction form
    2,557.92/3,527.44 = 1,967.20/x
  3. Step 3: Cross multiply
    2,557.92x = 3,527.44 × 1,967.20
  4. Step 4: Simplify right side
    2,557.92x = 6,939,179.97
  5. Step 5: Solve for x
    x = 6,939,179.97/2,557.92
  6. Step 6: Final answer
    x = 2,712.82

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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.