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Finding the Fourth Proportional to 2,863.56, 4,294.58 and 1,014.44

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Solution

The fourth proportional to 2,863.56, 4,294.58 and 1,014.44 is: 1,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.56 : 4,294.58 = 1,014.44 : x
  2. Step 2: Convert to fraction form
    2,863.56/4,294.58 = 1,014.44/x
  3. Step 3: Cross multiply
    2,863.56x = 4,294.58 × 1,014.44
  4. Step 4: Simplify right side
    2,863.56x = 4,356,593.74
  5. Step 5: Solve for x
    x = 4,356,593.74/2,863.56
  6. Step 6: Final answer
    x = 1,521.39

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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.