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Finding the Fourth Proportional to 2,103.54, 3,155.34 and 697.95

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Solution

The fourth proportional to 2,103.54, 3,155.34 and 697.95 is: 1,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.54 : 3,155.34 = 697.95 : x
  2. Step 2: Convert to fraction form
    2,103.54/3,155.34 = 697.95/x
  3. Step 3: Cross multiply
    2,103.54x = 3,155.34 × 697.95
  4. Step 4: Simplify right side
    2,103.54x = 2,202,269.55
  5. Step 5: Solve for x
    x = 2,202,269.55/2,103.54
  6. Step 6: Final answer
    x = 1,046.93

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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.