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Finding the Fourth Proportional to 3,043.30, 4,565.63 and 963.43

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Solution

The fourth proportional to 3,043.30, 4,565.63 and 963.43 is: 1,445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.30 : 4,565.63 = 963.43 : x
  2. Step 2: Convert to fraction form
    3,043.30/4,565.63 = 963.43/x
  3. Step 3: Cross multiply
    3,043.30x = 4,565.63 × 963.43
  4. Step 4: Simplify right side
    3,043.30x = 4,398,639.67
  5. Step 5: Solve for x
    x = 4,398,639.67/3,043.30
  6. Step 6: Final answer
    x = 1,445.35

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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.