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Finding the Fourth Proportional to 1,608.18, 2,412.60 and 915.18

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Solution

The fourth proportional to 1,608.18, 2,412.60 and 915.18 is: 1,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.18 : 2,412.60 = 915.18 : x
  2. Step 2: Convert to fraction form
    1,608.18/2,412.60 = 915.18/x
  3. Step 3: Cross multiply
    1,608.18x = 2,412.60 × 915.18
  4. Step 4: Simplify right side
    1,608.18x = 2,207,963.27
  5. Step 5: Solve for x
    x = 2,207,963.27/1,608.18
  6. Step 6: Final answer
    x = 1,372.96

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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.