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Finding the Fourth Proportional to 2,104.02, 3,155.91 and 643.05

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Solution

The fourth proportional to 2,104.02, 3,155.91 and 643.05 is: 964.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.02 : 3,155.91 = 643.05 : x
  2. Step 2: Convert to fraction form
    2,104.02/3,155.91 = 643.05/x
  3. Step 3: Cross multiply
    2,104.02x = 3,155.91 × 643.05
  4. Step 4: Simplify right side
    2,104.02x = 2,029,419.76
  5. Step 5: Solve for x
    x = 2,029,419.76/2,104.02
  6. Step 6: Final answer
    x = 964.55

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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.