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Finding the Fourth Proportional to 2,219.30, 3,328.95 and 758.46

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Solution

The fourth proportional to 2,219.30, 3,328.95 and 758.46 is: 1,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.30 : 3,328.95 = 758.46 : x
  2. Step 2: Convert to fraction form
    2,219.30/3,328.95 = 758.46/x
  3. Step 3: Cross multiply
    2,219.30x = 3,328.95 × 758.46
  4. Step 4: Simplify right side
    2,219.30x = 2,524,886.48
  5. Step 5: Solve for x
    x = 2,524,886.48/2,219.30
  6. Step 6: Final answer
    x = 1,137.70

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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.