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Finding the Fourth Proportional to 2,528.18, 3,792.32 and 968.92

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Solution

The fourth proportional to 2,528.18, 3,792.32 and 968.92 is: 1,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.18 : 3,792.32 = 968.92 : x
  2. Step 2: Convert to fraction form
    2,528.18/3,792.32 = 968.92/x
  3. Step 3: Cross multiply
    2,528.18x = 3,792.32 × 968.92
  4. Step 4: Simplify right side
    2,528.18x = 3,674,454.69
  5. Step 5: Solve for x
    x = 3,674,454.69/2,528.18
  6. Step 6: Final answer
    x = 1,453.40

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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.