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Finding the Fourth Proportional to 2,103.60, 3,155.40 and 643.20

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Solution

The fourth proportional to 2,103.60, 3,155.40 and 643.20 is: 964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.60 : 3,155.40 = 643.20 : x
  2. Step 2: Convert to fraction form
    2,103.60/3,155.40 = 643.20/x
  3. Step 3: Cross multiply
    2,103.60x = 3,155.40 × 643.20
  4. Step 4: Simplify right side
    2,103.60x = 2,029,553.28
  5. Step 5: Solve for x
    x = 2,029,553.28/2,103.60
  6. Step 6: Final answer
    x = 964.80

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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.