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Finding the Fourth Proportional to 2,492.20, 3,439.24 and 1,388.20

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Solution

The fourth proportional to 2,492.20, 3,439.24 and 1,388.20 is: 1,915.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.20 : 3,439.24 = 1,388.20 : x
  2. Step 2: Convert to fraction form
    2,492.20/3,439.24 = 1,388.20/x
  3. Step 3: Cross multiply
    2,492.20x = 3,439.24 × 1,388.20
  4. Step 4: Simplify right side
    2,492.20x = 4,774,352.97
  5. Step 5: Solve for x
    x = 4,774,352.97/2,492.20
  6. Step 6: Final answer
    x = 1,915.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.