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Finding the Fourth Proportional to 2,426.88, 3,640.32 and 867.20

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Solution

The fourth proportional to 2,426.88, 3,640.32 and 867.20 is: 1,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.88 : 3,640.32 = 867.20 : x
  2. Step 2: Convert to fraction form
    2,426.88/3,640.32 = 867.20/x
  3. Step 3: Cross multiply
    2,426.88x = 3,640.32 × 867.20
  4. Step 4: Simplify right side
    2,426.88x = 3,156,885.50
  5. Step 5: Solve for x
    x = 3,156,885.50/2,426.88
  6. Step 6: Final answer
    x = 1,300.80

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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.