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Finding the Fourth Proportional to 2,469.42, 3,703.20 and 1,007.79

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Solution

The fourth proportional to 2,469.42, 3,703.20 and 1,007.79 is: 1,511.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.42 : 3,703.20 = 1,007.79 : x
  2. Step 2: Convert to fraction form
    2,469.42/3,703.20 = 1,007.79/x
  3. Step 3: Cross multiply
    2,469.42x = 3,703.20 × 1,007.79
  4. Step 4: Simplify right side
    2,469.42x = 3,732,047.93
  5. Step 5: Solve for x
    x = 3,732,047.93/2,469.42
  6. Step 6: Final answer
    x = 1,511.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.