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Finding the Fourth Proportional to 2,425.62, 3,347.37 and 1,377.66

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Solution

The fourth proportional to 2,425.62, 3,347.37 and 1,377.66 is: 1,901.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.62 : 3,347.37 = 1,377.66 : x
  2. Step 2: Convert to fraction form
    2,425.62/3,347.37 = 1,377.66/x
  3. Step 3: Cross multiply
    2,425.62x = 3,347.37 × 1,377.66
  4. Step 4: Simplify right side
    2,425.62x = 4,611,537.75
  5. Step 5: Solve for x
    x = 4,611,537.75/2,425.62
  6. Step 6: Final answer
    x = 1,901.18

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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.