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Finding the Fourth Proportional to 2,449.86, 3,382.21 and 1,613.00

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Solution

The fourth proportional to 2,449.86, 3,382.21 and 1,613.00 is: 2,226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.86 : 3,382.21 = 1,613.00 : x
  2. Step 2: Convert to fraction form
    2,449.86/3,382.21 = 1,613.00/x
  3. Step 3: Cross multiply
    2,449.86x = 3,382.21 × 1,613.00
  4. Step 4: Simplify right side
    2,449.86x = 5,455,508.78
  5. Step 5: Solve for x
    x = 5,455,508.78/2,449.86
  6. Step 6: Final answer
    x = 2,226.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.