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Finding the Fourth Proportional to 2,103.44, 3,155.69 and 697.95

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Solution

The fourth proportional to 2,103.44, 3,155.69 and 697.95 is: 1,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.44 : 3,155.69 = 697.95 : x
  2. Step 2: Convert to fraction form
    2,103.44/3,155.69 = 697.95/x
  3. Step 3: Cross multiply
    2,103.44x = 3,155.69 × 697.95
  4. Step 4: Simplify right side
    2,103.44x = 2,202,515.58
  5. Step 5: Solve for x
    x = 2,202,515.58/2,103.44
  6. Step 6: Final answer
    x = 1,047.10

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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.