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Finding the Fourth Proportional to 2,425.66, 3,347.31 and 1,377.82

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Solution

The fourth proportional to 2,425.66, 3,347.31 and 1,377.82 is: 1,901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.66 : 3,347.31 = 1,377.82 : x
  2. Step 2: Convert to fraction form
    2,425.66/3,347.31 = 1,377.82/x
  3. Step 3: Cross multiply
    2,425.66x = 3,347.31 × 1,377.82
  4. Step 4: Simplify right side
    2,425.66x = 4,611,990.66
  5. Step 5: Solve for x
    x = 4,611,990.66/2,425.66
  6. Step 6: Final answer
    x = 1,901.33

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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.