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Finding the Fourth Proportional to 2,103.98, 3,156.37 and 643.14

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Solution

The fourth proportional to 2,103.98, 3,156.37 and 643.14 is: 964.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.98 : 3,156.37 = 643.14 : x
  2. Step 2: Convert to fraction form
    2,103.98/3,156.37 = 643.14/x
  3. Step 3: Cross multiply
    2,103.98x = 3,156.37 × 643.14
  4. Step 4: Simplify right side
    2,103.98x = 2,029,986.19
  5. Step 5: Solve for x
    x = 2,029,986.19/2,103.98
  6. Step 6: Final answer
    x = 964.83

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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.