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Finding the Fourth Proportional to 1,403.62, 2,102.38 and 915.19

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Solution

The fourth proportional to 1,403.62, 2,102.38 and 915.19 is: 1,370.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.62 : 2,102.38 = 915.19 : x
  2. Step 2: Convert to fraction form
    1,403.62/2,102.38 = 915.19/x
  3. Step 3: Cross multiply
    1,403.62x = 2,102.38 × 915.19
  4. Step 4: Simplify right side
    1,403.62x = 1,924,077.15
  5. Step 5: Solve for x
    x = 1,924,077.15/1,403.62
  6. Step 6: Final answer
    x = 1,370.80

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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.