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Finding the Fourth Proportional to 2,423.25, 3,633.08 and 778.86

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Solution

The fourth proportional to 2,423.25, 3,633.08 and 778.86 is: 1,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.25 : 3,633.08 = 778.86 : x
  2. Step 2: Convert to fraction form
    2,423.25/3,633.08 = 778.86/x
  3. Step 3: Cross multiply
    2,423.25x = 3,633.08 × 778.86
  4. Step 4: Simplify right side
    2,423.25x = 2,829,660.69
  5. Step 5: Solve for x
    x = 2,829,660.69/2,423.25
  6. Step 6: Final answer
    x = 1,167.71

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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.