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Finding the Fourth Proportional to 2,103.69, 3,156.03 and 642.81

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Solution

The fourth proportional to 2,103.69, 3,156.03 and 642.81 is: 964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.69 : 3,156.03 = 642.81 : x
  2. Step 2: Convert to fraction form
    2,103.69/3,156.03 = 642.81/x
  3. Step 3: Cross multiply
    2,103.69x = 3,156.03 × 642.81
  4. Step 4: Simplify right side
    2,103.69x = 2,028,727.64
  5. Step 5: Solve for x
    x = 2,028,727.64/2,103.69
  6. Step 6: Final answer
    x = 964.37

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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.