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Finding the Fourth Proportional to 2,792.84, 4,189.71 and 944.07

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Solution

The fourth proportional to 2,792.84, 4,189.71 and 944.07 is: 1,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.84 : 4,189.71 = 944.07 : x
  2. Step 2: Convert to fraction form
    2,792.84/4,189.71 = 944.07/x
  3. Step 3: Cross multiply
    2,792.84x = 4,189.71 × 944.07
  4. Step 4: Simplify right side
    2,792.84x = 3,955,379.52
  5. Step 5: Solve for x
    x = 3,955,379.52/2,792.84
  6. Step 6: Final answer
    x = 1,416.26

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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.