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Finding the Fourth Proportional to 2,614.18, 3,921.12 and 859.18

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Solution

The fourth proportional to 2,614.18, 3,921.12 and 859.18 is: 1,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.18 : 3,921.12 = 859.18 : x
  2. Step 2: Convert to fraction form
    2,614.18/3,921.12 = 859.18/x
  3. Step 3: Cross multiply
    2,614.18x = 3,921.12 × 859.18
  4. Step 4: Simplify right side
    2,614.18x = 3,368,947.88
  5. Step 5: Solve for x
    x = 3,368,947.88/2,614.18
  6. Step 6: Final answer
    x = 1,288.72

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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.