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Finding the Fourth Proportional to 2,298.80, 3,448.20 and 1,324.10

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Solution

The fourth proportional to 2,298.80, 3,448.20 and 1,324.10 is: 1,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.80 : 3,448.20 = 1,324.10 : x
  2. Step 2: Convert to fraction form
    2,298.80/3,448.20 = 1,324.10/x
  3. Step 3: Cross multiply
    2,298.80x = 3,448.20 × 1,324.10
  4. Step 4: Simplify right side
    2,298.80x = 4,565,761.62
  5. Step 5: Solve for x
    x = 4,565,761.62/2,298.80
  6. Step 6: Final answer
    x = 1,986.15

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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.