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Finding the Fourth Proportional to 2,152.98, 3,229.07 and 854.55

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Solution

The fourth proportional to 2,152.98, 3,229.07 and 854.55 is: 1,281.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.98 : 3,229.07 = 854.55 : x
  2. Step 2: Convert to fraction form
    2,152.98/3,229.07 = 854.55/x
  3. Step 3: Cross multiply
    2,152.98x = 3,229.07 × 854.55
  4. Step 4: Simplify right side
    2,152.98x = 2,759,397.50
  5. Step 5: Solve for x
    x = 2,759,397.50/2,152.98
  6. Step 6: Final answer
    x = 1,281.66

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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.