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Finding the Fourth Proportional to 3,043.42, 4,565.96 and 963.36

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Solution

The fourth proportional to 3,043.42, 4,565.96 and 963.36 is: 1,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.42 : 4,565.96 = 963.36 : x
  2. Step 2: Convert to fraction form
    3,043.42/4,565.96 = 963.36/x
  3. Step 3: Cross multiply
    3,043.42x = 4,565.96 × 963.36
  4. Step 4: Simplify right side
    3,043.42x = 4,398,658.41
  5. Step 5: Solve for x
    x = 4,398,658.41/3,043.42
  6. Step 6: Final answer
    x = 1,445.30

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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.