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Finding the Fourth Proportional to 2,249.82, 3,374.72 and 710.82

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Solution

The fourth proportional to 2,249.82, 3,374.72 and 710.82 is: 1,066.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.82 : 3,374.72 = 710.82 : x
  2. Step 2: Convert to fraction form
    2,249.82/3,374.72 = 710.82/x
  3. Step 3: Cross multiply
    2,249.82x = 3,374.72 × 710.82
  4. Step 4: Simplify right side
    2,249.82x = 2,398,814.92
  5. Step 5: Solve for x
    x = 2,398,814.92/2,249.82
  6. Step 6: Final answer
    x = 1,066.23

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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.