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Finding the Fourth Proportional to 2,765.95, 4,147.28 and 1,099.17

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Solution

The fourth proportional to 2,765.95, 4,147.28 and 1,099.17 is: 1,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.95 : 4,147.28 = 1,099.17 : x
  2. Step 2: Convert to fraction form
    2,765.95/4,147.28 = 1,099.17/x
  3. Step 3: Cross multiply
    2,765.95x = 4,147.28 × 1,099.17
  4. Step 4: Simplify right side
    2,765.95x = 4,558,560.26
  5. Step 5: Solve for x
    x = 4,558,560.26/2,765.95
  6. Step 6: Final answer
    x = 1,648.10

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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.