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Finding the Fourth Proportional to 2,377.98, 3,567.17 and 817.72

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Solution

The fourth proportional to 2,377.98, 3,567.17 and 817.72 is: 1,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.98 : 3,567.17 = 817.72 : x
  2. Step 2: Convert to fraction form
    2,377.98/3,567.17 = 817.72/x
  3. Step 3: Cross multiply
    2,377.98x = 3,567.17 × 817.72
  4. Step 4: Simplify right side
    2,377.98x = 2,916,939.38
  5. Step 5: Solve for x
    x = 2,916,939.38/2,377.98
  6. Step 6: Final answer
    x = 1,226.65

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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.