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Finding the Fourth Proportional to 2,593.98, 3,890.98 and 646.19

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Solution

The fourth proportional to 2,593.98, 3,890.98 and 646.19 is: 969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.98 : 3,890.98 = 646.19 : x
  2. Step 2: Convert to fraction form
    2,593.98/3,890.98 = 646.19/x
  3. Step 3: Cross multiply
    2,593.98x = 3,890.98 × 646.19
  4. Step 4: Simplify right side
    2,593.98x = 2,514,291.30
  5. Step 5: Solve for x
    x = 2,514,291.30/2,593.98
  6. Step 6: Final answer
    x = 969.28

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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.