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Finding the Fourth Proportional to 2,271.53, 3,134.54 and 1,276.61

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Solution

The fourth proportional to 2,271.53, 3,134.54 and 1,276.61 is: 1,761.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.53 : 3,134.54 = 1,276.61 : x
  2. Step 2: Convert to fraction form
    2,271.53/3,134.54 = 1,276.61/x
  3. Step 3: Cross multiply
    2,271.53x = 3,134.54 × 1,276.61
  4. Step 4: Simplify right side
    2,271.53x = 4,001,585.11
  5. Step 5: Solve for x
    x = 4,001,585.11/2,271.53
  6. Step 6: Final answer
    x = 1,761.63

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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.