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Finding the Fourth Proportional to 2,327.79, 3,470.91 and 2,230.59

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Solution

The fourth proportional to 2,327.79, 3,470.91 and 2,230.59 is: 3,325.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.79 : 3,470.91 = 2,230.59 : x
  2. Step 2: Convert to fraction form
    2,327.79/3,470.91 = 2,230.59/x
  3. Step 3: Cross multiply
    2,327.79x = 3,470.91 × 2,230.59
  4. Step 4: Simplify right side
    2,327.79x = 7,742,177.14
  5. Step 5: Solve for x
    x = 7,742,177.14/2,327.79
  6. Step 6: Final answer
    x = 3,325.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.