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Finding the Fourth Proportional to 2,280.32, 3,147.00 and 1,285.69

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Solution

The fourth proportional to 2,280.32, 3,147.00 and 1,285.69 is: 1,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.32 : 3,147.00 = 1,285.69 : x
  2. Step 2: Convert to fraction form
    2,280.32/3,147.00 = 1,285.69/x
  3. Step 3: Cross multiply
    2,280.32x = 3,147.00 × 1,285.69
  4. Step 4: Simplify right side
    2,280.32x = 4,046,066.87
  5. Step 5: Solve for x
    x = 4,046,066.87/2,280.32
  6. Step 6: Final answer
    x = 1,774.34

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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.