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Finding the Fourth Proportional to 1,440.76, 2,158.74 and 1,149.16

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Solution

The fourth proportional to 1,440.76, 2,158.74 and 1,149.16 is: 1,721.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.76 : 2,158.74 = 1,149.16 : x
  2. Step 2: Convert to fraction form
    1,440.76/2,158.74 = 1,149.16/x
  3. Step 3: Cross multiply
    1,440.76x = 2,158.74 × 1,149.16
  4. Step 4: Simplify right side
    1,440.76x = 2,480,737.66
  5. Step 5: Solve for x
    x = 2,480,737.66/1,440.76
  6. Step 6: Final answer
    x = 1,721.83

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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.