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Finding the Fourth Proportional to 2,693.20, 4,040.16 and 844.44

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Solution

The fourth proportional to 2,693.20, 4,040.16 and 844.44 is: 1,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.20 : 4,040.16 = 844.44 : x
  2. Step 2: Convert to fraction form
    2,693.20/4,040.16 = 844.44/x
  3. Step 3: Cross multiply
    2,693.20x = 4,040.16 × 844.44
  4. Step 4: Simplify right side
    2,693.20x = 3,411,672.71
  5. Step 5: Solve for x
    x = 3,411,672.71/2,693.20
  6. Step 6: Final answer
    x = 1,266.77

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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.