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Finding the Fourth Proportional to 2,367.78, 3,259.34 and 2,281.69

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Solution

The fourth proportional to 2,367.78, 3,259.34 and 2,281.69 is: 3,140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.78 : 3,259.34 = 2,281.69 : x
  2. Step 2: Convert to fraction form
    2,367.78/3,259.34 = 2,281.69/x
  3. Step 3: Cross multiply
    2,367.78x = 3,259.34 × 2,281.69
  4. Step 4: Simplify right side
    2,367.78x = 7,436,786.37
  5. Step 5: Solve for x
    x = 7,436,786.37/2,367.78
  6. Step 6: Final answer
    x = 3,140.82

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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.