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Finding the Fourth Proportional to 2,476.41, 3,712.59 and 915.42

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Solution

The fourth proportional to 2,476.41, 3,712.59 and 915.42 is: 1,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.41 : 3,712.59 = 915.42 : x
  2. Step 2: Convert to fraction form
    2,476.41/3,712.59 = 915.42/x
  3. Step 3: Cross multiply
    2,476.41x = 3,712.59 × 915.42
  4. Step 4: Simplify right side
    2,476.41x = 3,398,579.14
  5. Step 5: Solve for x
    x = 3,398,579.14/2,476.41
  6. Step 6: Final answer
    x = 1,372.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.