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Finding the Fourth Proportional to 1,793.20, 2,474.72 and 1,007.40

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Solution

The fourth proportional to 1,793.20, 2,474.72 and 1,007.40 is: 1,390.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.20 : 2,474.72 = 1,007.40 : x
  2. Step 2: Convert to fraction form
    1,793.20/2,474.72 = 1,007.40/x
  3. Step 3: Cross multiply
    1,793.20x = 2,474.72 × 1,007.40
  4. Step 4: Simplify right side
    1,793.20x = 2,493,032.93
  5. Step 5: Solve for x
    x = 2,493,032.93/1,793.20
  6. Step 6: Final answer
    x = 1,390.27

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