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Finding the Fourth Proportional to 2,792.72, 4,189.35 and 944.08

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Solution

The fourth proportional to 2,792.72, 4,189.35 and 944.08 is: 1,416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.72 : 4,189.35 = 944.08 : x
  2. Step 2: Convert to fraction form
    2,792.72/4,189.35 = 944.08/x
  3. Step 3: Cross multiply
    2,792.72x = 4,189.35 × 944.08
  4. Step 4: Simplify right side
    2,792.72x = 3,955,081.55
  5. Step 5: Solve for x
    x = 3,955,081.55/2,792.72
  6. Step 6: Final answer
    x = 1,416.21

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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.