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Finding the Fourth Proportional to 2,260.47, 3,391.22 and 1,027.55

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Solution

The fourth proportional to 2,260.47, 3,391.22 and 1,027.55 is: 1,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.47 : 3,391.22 = 1,027.55 : x
  2. Step 2: Convert to fraction form
    2,260.47/3,391.22 = 1,027.55/x
  3. Step 3: Cross multiply
    2,260.47x = 3,391.22 × 1,027.55
  4. Step 4: Simplify right side
    2,260.47x = 3,484,639.07
  5. Step 5: Solve for x
    x = 3,484,639.07/2,260.47
  6. Step 6: Final answer
    x = 1,541.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.