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Finding the Fourth Proportional to 2,249.55, 3,374.57 and 864.06

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Solution

The fourth proportional to 2,249.55, 3,374.57 and 864.06 is: 1,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.55 : 3,374.57 = 864.06 : x
  2. Step 2: Convert to fraction form
    2,249.55/3,374.57 = 864.06/x
  3. Step 3: Cross multiply
    2,249.55x = 3,374.57 × 864.06
  4. Step 4: Simplify right side
    2,249.55x = 2,915,830.95
  5. Step 5: Solve for x
    x = 2,915,830.95/2,249.55
  6. Step 6: Final answer
    x = 1,296.18

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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.