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Finding the Fourth Proportional to 2,247.96, 3,371.91 and 559.35

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Solution

The fourth proportional to 2,247.96, 3,371.91 and 559.35 is: 839.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.96 : 3,371.91 = 559.35 : x
  2. Step 2: Convert to fraction form
    2,247.96/3,371.91 = 559.35/x
  3. Step 3: Cross multiply
    2,247.96x = 3,371.91 × 559.35
  4. Step 4: Simplify right side
    2,247.96x = 1,886,077.86
  5. Step 5: Solve for x
    x = 1,886,077.86/2,247.96
  6. Step 6: Final answer
    x = 839.02

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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.