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Finding the Fourth Proportional to 2,270.64, 3,133.72 and 1,275.92

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Solution

The fourth proportional to 2,270.64, 3,133.72 and 1,275.92 is: 1,760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.64 : 3,133.72 = 1,275.92 : x
  2. Step 2: Convert to fraction form
    2,270.64/3,133.72 = 1,275.92/x
  3. Step 3: Cross multiply
    2,270.64x = 3,133.72 × 1,275.92
  4. Step 4: Simplify right side
    2,270.64x = 3,998,376.02
  5. Step 5: Solve for x
    x = 3,998,376.02/2,270.64
  6. Step 6: Final answer
    x = 1,760.90

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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.