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Finding the Fourth Proportional to 2,354.88, 3,531.12 and 892.92

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Solution

The fourth proportional to 2,354.88, 3,531.12 and 892.92 is: 1,338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.88 : 3,531.12 = 892.92 : x
  2. Step 2: Convert to fraction form
    2,354.88/3,531.12 = 892.92/x
  3. Step 3: Cross multiply
    2,354.88x = 3,531.12 × 892.92
  4. Step 4: Simplify right side
    2,354.88x = 3,153,007.67
  5. Step 5: Solve for x
    x = 3,153,007.67/2,354.88
  6. Step 6: Final answer
    x = 1,338.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.