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Finding the Fourth Proportional to 2,249.61, 3,374.42 and 606.17

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Solution

The fourth proportional to 2,249.61, 3,374.42 and 606.17 is: 909.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.61 : 3,374.42 = 606.17 : x
  2. Step 2: Convert to fraction form
    2,249.61/3,374.42 = 606.17/x
  3. Step 3: Cross multiply
    2,249.61x = 3,374.42 × 606.17
  4. Step 4: Simplify right side
    2,249.61x = 2,045,472.17
  5. Step 5: Solve for x
    x = 2,045,472.17/2,249.61
  6. Step 6: Final answer
    x = 909.26

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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.