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Finding the Fourth Proportional to 2,377.53, 3,566.71 and 817.70

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Solution

The fourth proportional to 2,377.53, 3,566.71 and 817.70 is: 1,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.53 : 3,566.71 = 817.70 : x
  2. Step 2: Convert to fraction form
    2,377.53/3,566.71 = 817.70/x
  3. Step 3: Cross multiply
    2,377.53x = 3,566.71 × 817.70
  4. Step 4: Simplify right side
    2,377.53x = 2,916,478.89
  5. Step 5: Solve for x
    x = 2,916,478.89/2,377.53
  6. Step 6: Final answer
    x = 1,226.68

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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.