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Finding the Fourth Proportional to 2,298.68, 3,447.98 and 1,324.12

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Solution

The fourth proportional to 2,298.68, 3,447.98 and 1,324.12 is: 1,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.68 : 3,447.98 = 1,324.12 : x
  2. Step 2: Convert to fraction form
    2,298.68/3,447.98 = 1,324.12/x
  3. Step 3: Cross multiply
    2,298.68x = 3,447.98 × 1,324.12
  4. Step 4: Simplify right side
    2,298.68x = 4,565,539.28
  5. Step 5: Solve for x
    x = 4,565,539.28/2,298.68
  6. Step 6: Final answer
    x = 1,986.16

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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.