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Finding the Fourth Proportional to 2,280.34, 3,147.02 and 1,285.26

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Solution

The fourth proportional to 2,280.34, 3,147.02 and 1,285.26 is: 1,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.34 : 3,147.02 = 1,285.26 : x
  2. Step 2: Convert to fraction form
    2,280.34/3,147.02 = 1,285.26/x
  3. Step 3: Cross multiply
    2,280.34x = 3,147.02 × 1,285.26
  4. Step 4: Simplify right side
    2,280.34x = 4,044,738.93
  5. Step 5: Solve for x
    x = 4,044,738.93/2,280.34
  6. Step 6: Final answer
    x = 1,773.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.