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Finding the Fourth Proportional to 2,792.07, 4,188.38 and 843.93

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Solution

The fourth proportional to 2,792.07, 4,188.38 and 843.93 is: 1,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.07 : 4,188.38 = 843.93 : x
  2. Step 2: Convert to fraction form
    2,792.07/4,188.38 = 843.93/x
  3. Step 3: Cross multiply
    2,792.07x = 4,188.38 × 843.93
  4. Step 4: Simplify right side
    2,792.07x = 3,534,695.31
  5. Step 5: Solve for x
    x = 3,534,695.31/2,792.07
  6. Step 6: Final answer
    x = 1,265.98

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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.