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Finding the Fourth Proportional to 2,391.53, 3,587.40 and 1,280.48

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Solution

The fourth proportional to 2,391.53, 3,587.40 and 1,280.48 is: 1,920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.53 : 3,587.40 = 1,280.48 : x
  2. Step 2: Convert to fraction form
    2,391.53/3,587.40 = 1,280.48/x
  3. Step 3: Cross multiply
    2,391.53x = 3,587.40 × 1,280.48
  4. Step 4: Simplify right side
    2,391.53x = 4,593,602.92
  5. Step 5: Solve for x
    x = 4,593,602.92/2,391.53
  6. Step 6: Final answer
    x = 1,920.78

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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.