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Finding the Fourth Proportional to 2,911.92, 4,017.60 and 1,792.32

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Solution

The fourth proportional to 2,911.92, 4,017.60 and 1,792.32 is: 2,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.92 : 4,017.60 = 1,792.32 : x
  2. Step 2: Convert to fraction form
    2,911.92/4,017.60 = 1,792.32/x
  3. Step 3: Cross multiply
    2,911.92x = 4,017.60 × 1,792.32
  4. Step 4: Simplify right side
    2,911.92x = 7,200,824.83
  5. Step 5: Solve for x
    x = 7,200,824.83/2,911.92
  6. Step 6: Final answer
    x = 2,472.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.