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Finding the Fourth Proportional to 2,367.88, 3,550.71 and 807.46

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Solution

The fourth proportional to 2,367.88, 3,550.71 and 807.46 is: 1,210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.88 : 3,550.71 = 807.46 : x
  2. Step 2: Convert to fraction form
    2,367.88/3,550.71 = 807.46/x
  3. Step 3: Cross multiply
    2,367.88x = 3,550.71 × 807.46
  4. Step 4: Simplify right side
    2,367.88x = 2,867,056.30
  5. Step 5: Solve for x
    x = 2,867,056.30/2,367.88
  6. Step 6: Final answer
    x = 1,210.81

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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.