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Finding the Fourth Proportional to 2,367.48, 3,551.46 and 807.48

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Solution

The fourth proportional to 2,367.48, 3,551.46 and 807.48 is: 1,211.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.48 : 3,551.46 = 807.48 : x
  2. Step 2: Convert to fraction form
    2,367.48/3,551.46 = 807.48/x
  3. Step 3: Cross multiply
    2,367.48x = 3,551.46 × 807.48
  4. Step 4: Simplify right side
    2,367.48x = 2,867,732.92
  5. Step 5: Solve for x
    x = 2,867,732.92/2,367.48
  6. Step 6: Final answer
    x = 1,211.30

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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.