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Finding the Fourth Proportional to 2,239.23, 3,358.88 and 778.43

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Solution

The fourth proportional to 2,239.23, 3,358.88 and 778.43 is: 1,167.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.23 : 3,358.88 = 778.43 : x
  2. Step 2: Convert to fraction form
    2,239.23/3,358.88 = 778.43/x
  3. Step 3: Cross multiply
    2,239.23x = 3,358.88 × 778.43
  4. Step 4: Simplify right side
    2,239.23x = 2,614,649.07
  5. Step 5: Solve for x
    x = 2,614,649.07/2,239.23
  6. Step 6: Final answer
    x = 1,167.66

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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.