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Finding the Fourth Proportional to 2,528.15, 3,792.42 and 968.90

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Solution

The fourth proportional to 2,528.15, 3,792.42 and 968.90 is: 1,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.15 : 3,792.42 = 968.90 : x
  2. Step 2: Convert to fraction form
    2,528.15/3,792.42 = 968.90/x
  3. Step 3: Cross multiply
    2,528.15x = 3,792.42 × 968.90
  4. Step 4: Simplify right side
    2,528.15x = 3,674,456.78
  5. Step 5: Solve for x
    x = 3,674,456.78/2,528.15
  6. Step 6: Final answer
    x = 1,453.42

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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.