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Finding the Fourth Proportional to 2,593.90, 3,890.82 and 646.12

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Solution

The fourth proportional to 2,593.90, 3,890.82 and 646.12 is: 969.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.90 : 3,890.82 = 646.12 : x
  2. Step 2: Convert to fraction form
    2,593.90/3,890.82 = 646.12/x
  3. Step 3: Cross multiply
    2,593.90x = 3,890.82 × 646.12
  4. Step 4: Simplify right side
    2,593.90x = 2,513,936.62
  5. Step 5: Solve for x
    x = 2,513,936.62/2,593.90
  6. Step 6: Final answer
    x = 969.17

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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.