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Finding the Fourth Proportional to 2,377.61, 3,566.30 and 817.61

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Solution

The fourth proportional to 2,377.61, 3,566.30 and 817.61 is: 1,226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.61 : 3,566.30 = 817.61 : x
  2. Step 2: Convert to fraction form
    2,377.61/3,566.30 = 817.61/x
  3. Step 3: Cross multiply
    2,377.61x = 3,566.30 × 817.61
  4. Step 4: Simplify right side
    2,377.61x = 2,915,838.45
  5. Step 5: Solve for x
    x = 2,915,838.45/2,377.61
  6. Step 6: Final answer
    x = 1,226.37

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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.