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Finding the Fourth Proportional to 2,367.23, 3,550.89 and 807.59

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Solution

The fourth proportional to 2,367.23, 3,550.89 and 807.59 is: 1,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.23 : 3,550.89 = 807.59 : x
  2. Step 2: Convert to fraction form
    2,367.23/3,550.89 = 807.59/x
  3. Step 3: Cross multiply
    2,367.23x = 3,550.89 × 807.59
  4. Step 4: Simplify right side
    2,367.23x = 2,867,648.37
  5. Step 5: Solve for x
    x = 2,867,648.37/2,367.23
  6. Step 6: Final answer
    x = 1,211.40

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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.