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Finding the Fourth Proportional to 2,792.41, 4,187.09 and 844.36

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Solution

The fourth proportional to 2,792.41, 4,187.09 and 844.36 is: 1,266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.41 : 4,187.09 = 844.36 : x
  2. Step 2: Convert to fraction form
    2,792.41/4,187.09 = 844.36/x
  3. Step 3: Cross multiply
    2,792.41x = 4,187.09 × 844.36
  4. Step 4: Simplify right side
    2,792.41x = 3,535,402.96
  5. Step 5: Solve for x
    x = 3,535,402.96/2,792.41
  6. Step 6: Final answer
    x = 1,266.08

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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.