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Finding the Fourth Proportional to 1,388.96, 1,915.88 and 892.23

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Solution

The fourth proportional to 1,388.96, 1,915.88 and 892.23 is: 1,230.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.96 : 1,915.88 = 892.23 : x
  2. Step 2: Convert to fraction form
    1,388.96/1,915.88 = 892.23/x
  3. Step 3: Cross multiply
    1,388.96x = 1,915.88 × 892.23
  4. Step 4: Simplify right side
    1,388.96x = 1,709,405.61
  5. Step 5: Solve for x
    x = 1,709,405.61/1,388.96
  6. Step 6: Final answer
    x = 1,230.71

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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.