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Finding the Fourth Proportional to 2,103.96, 3,155.82 and 643.00

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Solution

The fourth proportional to 2,103.96, 3,155.82 and 643.00 is: 964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.96 : 3,155.82 = 643.00 : x
  2. Step 2: Convert to fraction form
    2,103.96/3,155.82 = 643.00/x
  3. Step 3: Cross multiply
    2,103.96x = 3,155.82 × 643.00
  4. Step 4: Simplify right side
    2,103.96x = 2,029,173.27
  5. Step 5: Solve for x
    x = 2,029,173.27/2,103.96
  6. Step 6: Final answer
    x = 964.46

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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.