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Finding the Fourth Proportional to 2,429.44, 3,352.70 and 2,280.81

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Solution

The fourth proportional to 2,429.44, 3,352.70 and 2,280.81 is: 3,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.44 : 3,352.70 = 2,280.81 : x
  2. Step 2: Convert to fraction form
    2,429.44/3,352.70 = 2,280.81/x
  3. Step 3: Cross multiply
    2,429.44x = 3,352.70 × 2,280.81
  4. Step 4: Simplify right side
    2,429.44x = 7,646,871.69
  5. Step 5: Solve for x
    x = 7,646,871.69/2,429.44
  6. Step 6: Final answer
    x = 3,147.59

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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.