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Finding the Fourth Proportional to 2,377.98, 3,566.97 and 646.61

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Solution

The fourth proportional to 2,377.98, 3,566.97 and 646.61 is: 969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.98 : 3,566.97 = 646.61 : x
  2. Step 2: Convert to fraction form
    2,377.98/3,566.97 = 646.61/x
  3. Step 3: Cross multiply
    2,377.98x = 3,566.97 × 646.61
  4. Step 4: Simplify right side
    2,377.98x = 2,306,420.64
  5. Step 5: Solve for x
    x = 2,306,420.64/2,377.98
  6. Step 6: Final answer
    x = 969.91

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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.