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Finding the Fourth Proportional to 2,103.66, 3,155.85 and 642.69

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Solution

The fourth proportional to 2,103.66, 3,155.85 and 642.69 is: 964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.66 : 3,155.85 = 642.69 : x
  2. Step 2: Convert to fraction form
    2,103.66/3,155.85 = 642.69/x
  3. Step 3: Cross multiply
    2,103.66x = 3,155.85 × 642.69
  4. Step 4: Simplify right side
    2,103.66x = 2,028,233.24
  5. Step 5: Solve for x
    x = 2,028,233.24/2,103.66
  6. Step 6: Final answer
    x = 964.14

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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.