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Finding the Fourth Proportional to 2,428.39, 3,642.28 and 968.57

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Solution

The fourth proportional to 2,428.39, 3,642.28 and 968.57 is: 1,452.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.39 : 3,642.28 = 968.57 : x
  2. Step 2: Convert to fraction form
    2,428.39/3,642.28 = 968.57/x
  3. Step 3: Cross multiply
    2,428.39x = 3,642.28 × 968.57
  4. Step 4: Simplify right side
    2,428.39x = 3,527,803.14
  5. Step 5: Solve for x
    x = 3,527,803.14/2,428.39
  6. Step 6: Final answer
    x = 1,452.73

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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.