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Finding the Fourth Proportional to 1,793.38, 2,475.10 and 1,007.43

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Solution

The fourth proportional to 1,793.38, 2,475.10 and 1,007.43 is: 1,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.38 : 2,475.10 = 1,007.43 : x
  2. Step 2: Convert to fraction form
    1,793.38/2,475.10 = 1,007.43/x
  3. Step 3: Cross multiply
    1,793.38x = 2,475.10 × 1,007.43
  4. Step 4: Simplify right side
    1,793.38x = 2,493,478.77
  5. Step 5: Solve for x
    x = 2,493,478.77/1,793.38
  6. Step 6: Final answer
    x = 1,390.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.