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Finding the Fourth Proportional to 2,239.66, 3,359.39 and 778.93

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Solution

The fourth proportional to 2,239.66, 3,359.39 and 778.93 is: 1,168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.66 : 3,359.39 = 778.93 : x
  2. Step 2: Convert to fraction form
    2,239.66/3,359.39 = 778.93/x
  3. Step 3: Cross multiply
    2,239.66x = 3,359.39 × 778.93
  4. Step 4: Simplify right side
    2,239.66x = 2,616,729.65
  5. Step 5: Solve for x
    x = 2,616,729.65/2,239.66
  6. Step 6: Final answer
    x = 1,168.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.