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Finding the Fourth Proportional to 2,239.32, 3,359.54 and 778.49

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Solution

The fourth proportional to 2,239.32, 3,359.54 and 778.49 is: 1,167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.32 : 3,359.54 = 778.49 : x
  2. Step 2: Convert to fraction form
    2,239.32/3,359.54 = 778.49/x
  3. Step 3: Cross multiply
    2,239.32x = 3,359.54 × 778.49
  4. Step 4: Simplify right side
    2,239.32x = 2,615,366.04
  5. Step 5: Solve for x
    x = 2,615,366.04/2,239.32
  6. Step 6: Final answer
    x = 1,167.93

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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.