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Finding the Fourth Proportional to 1,891.48, 2,838.84 and 738.04

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Solution

The fourth proportional to 1,891.48, 2,838.84 and 738.04 is: 1,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.48 : 2,838.84 = 738.04 : x
  2. Step 2: Convert to fraction form
    1,891.48/2,838.84 = 738.04/x
  3. Step 3: Cross multiply
    1,891.48x = 2,838.84 × 738.04
  4. Step 4: Simplify right side
    1,891.48x = 2,095,177.47
  5. Step 5: Solve for x
    x = 2,095,177.47/1,891.48
  6. Step 6: Final answer
    x = 1,107.69

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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.