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Finding the Fourth Proportional to 2,872.41, 3,962.01 and 1,737.78

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Solution

The fourth proportional to 2,872.41, 3,962.01 and 1,737.78 is: 2,396.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.41 : 3,962.01 = 1,737.78 : x
  2. Step 2: Convert to fraction form
    2,872.41/3,962.01 = 1,737.78/x
  3. Step 3: Cross multiply
    2,872.41x = 3,962.01 × 1,737.78
  4. Step 4: Simplify right side
    2,872.41x = 6,885,101.74
  5. Step 5: Solve for x
    x = 6,885,101.74/2,872.41
  6. Step 6: Final answer
    x = 2,396.98

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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.