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Finding the Fourth Proportional to 1,188.39, 1,793.21 and 1,143.39

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Solution

The fourth proportional to 1,188.39, 1,793.21 and 1,143.39 is: 1,725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.39 : 1,793.21 = 1,143.39 : x
  2. Step 2: Convert to fraction form
    1,188.39/1,793.21 = 1,143.39/x
  3. Step 3: Cross multiply
    1,188.39x = 1,793.21 × 1,143.39
  4. Step 4: Simplify right side
    1,188.39x = 2,050,341.24
  5. Step 5: Solve for x
    x = 2,050,341.24/1,188.39
  6. Step 6: Final answer
    x = 1,725.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.