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Finding the Fourth Proportional to 2,324.28, 3,482.22 and 2,275.06

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Solution

The fourth proportional to 2,324.28, 3,482.22 and 2,275.06 is: 3,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.28 : 3,482.22 = 2,275.06 : x
  2. Step 2: Convert to fraction form
    2,324.28/3,482.22 = 2,275.06/x
  3. Step 3: Cross multiply
    2,324.28x = 3,482.22 × 2,275.06
  4. Step 4: Simplify right side
    2,324.28x = 7,922,259.43
  5. Step 5: Solve for x
    x = 7,922,259.43/2,324.28
  6. Step 6: Final answer
    x = 3,408.48

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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.