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Finding the Fourth Proportional to 2,377.61, 3,273.64 and 2,158.91

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Solution

The fourth proportional to 2,377.61, 3,273.64 and 2,158.91 is: 2,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.61 : 3,273.64 = 2,158.91 : x
  2. Step 2: Convert to fraction form
    2,377.61/3,273.64 = 2,158.91/x
  3. Step 3: Cross multiply
    2,377.61x = 3,273.64 × 2,158.91
  4. Step 4: Simplify right side
    2,377.61x = 7,067,494.13
  5. Step 5: Solve for x
    x = 7,067,494.13/2,377.61
  6. Step 6: Final answer
    x = 2,972.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.