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Finding the Fourth Proportional to 3,043.17, 4,565.40 and 963.78

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Solution

The fourth proportional to 3,043.17, 4,565.40 and 963.78 is: 1,445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.17 : 4,565.40 = 963.78 : x
  2. Step 2: Convert to fraction form
    3,043.17/4,565.40 = 963.78/x
  3. Step 3: Cross multiply
    3,043.17x = 4,565.40 × 963.78
  4. Step 4: Simplify right side
    3,043.17x = 4,400,041.21
  5. Step 5: Solve for x
    x = 4,400,041.21/3,043.17
  6. Step 6: Final answer
    x = 1,445.87

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Why These Related Problems?

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