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Finding the Fourth Proportional to 2,239.50, 3,359.92 and 904.61

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Solution

The fourth proportional to 2,239.50, 3,359.92 and 904.61 is: 1,357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.50 : 3,359.92 = 904.61 : x
  2. Step 2: Convert to fraction form
    2,239.50/3,359.92 = 904.61/x
  3. Step 3: Cross multiply
    2,239.50x = 3,359.92 × 904.61
  4. Step 4: Simplify right side
    2,239.50x = 3,039,398.17
  5. Step 5: Solve for x
    x = 3,039,398.17/2,239.50
  6. Step 6: Final answer
    x = 1,357.18

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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.