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Finding the Fourth Proportional to 2,103.95, 3,154.82 and 1,049.60

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Solution

The fourth proportional to 2,103.95, 3,154.82 and 1,049.60 is: 1,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.95 : 3,154.82 = 1,049.60 : x
  2. Step 2: Convert to fraction form
    2,103.95/3,154.82 = 1,049.60/x
  3. Step 3: Cross multiply
    2,103.95x = 3,154.82 × 1,049.60
  4. Step 4: Simplify right side
    2,103.95x = 3,311,301.71
  5. Step 5: Solve for x
    x = 3,311,301.71/2,103.95
  6. Step 6: Final answer
    x = 1,573.85

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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.