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Finding the Fourth Proportional to 2,792.25, 4,188.04 and 918.05

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Solution

The fourth proportional to 2,792.25, 4,188.04 and 918.05 is: 1,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.25 : 4,188.04 = 918.05 : x
  2. Step 2: Convert to fraction form
    2,792.25/4,188.04 = 918.05/x
  3. Step 3: Cross multiply
    2,792.25x = 4,188.04 × 918.05
  4. Step 4: Simplify right side
    2,792.25x = 3,844,806.89
  5. Step 5: Solve for x
    x = 3,844,806.89/2,792.25
  6. Step 6: Final answer
    x = 1,376.96

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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.