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Finding the Fourth Proportional to 2,012.42, 3,019.24 and 915.88

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Solution

The fourth proportional to 2,012.42, 3,019.24 and 915.88 is: 1,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.42 : 3,019.24 = 915.88 : x
  2. Step 2: Convert to fraction form
    2,012.42/3,019.24 = 915.88/x
  3. Step 3: Cross multiply
    2,012.42x = 3,019.24 × 915.88
  4. Step 4: Simplify right side
    2,012.42x = 2,765,261.53
  5. Step 5: Solve for x
    x = 2,765,261.53/2,012.42
  6. Step 6: Final answer
    x = 1,374.10

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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.