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Finding the Fourth Proportional to 2,218.88, 3,328.92 and 758.14

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Solution

The fourth proportional to 2,218.88, 3,328.92 and 758.14 is: 1,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.88 : 3,328.92 = 758.14 : x
  2. Step 2: Convert to fraction form
    2,218.88/3,328.92 = 758.14/x
  3. Step 3: Cross multiply
    2,218.88x = 3,328.92 × 758.14
  4. Step 4: Simplify right side
    2,218.88x = 2,523,787.41
  5. Step 5: Solve for x
    x = 2,523,787.41/2,218.88
  6. Step 6: Final answer
    x = 1,137.42

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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.