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Finding the Fourth Proportional to 1,885.25, 2,601.65 and 1,099.15

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Solution

The fourth proportional to 1,885.25, 2,601.65 and 1,099.15 is: 1,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.25 : 2,601.65 = 1,099.15 : x
  2. Step 2: Convert to fraction form
    1,885.25/2,601.65 = 1,099.15/x
  3. Step 3: Cross multiply
    1,885.25x = 2,601.65 × 1,099.15
  4. Step 4: Simplify right side
    1,885.25x = 2,859,603.60
  5. Step 5: Solve for x
    x = 2,859,603.60/1,885.25
  6. Step 6: Final answer
    x = 1,516.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.