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Finding the Fourth Proportional to 2,270.54, 3,133.23 and 1,275.86

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Solution

The fourth proportional to 2,270.54, 3,133.23 and 1,275.86 is: 1,760.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.54 : 3,133.23 = 1,275.86 : x
  2. Step 2: Convert to fraction form
    2,270.54/3,133.23 = 1,275.86/x
  3. Step 3: Cross multiply
    2,270.54x = 3,133.23 × 1,275.86
  4. Step 4: Simplify right side
    2,270.54x = 3,997,562.83
  5. Step 5: Solve for x
    x = 3,997,562.83/2,270.54
  6. Step 6: Final answer
    x = 1,760.62

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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.