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Finding the Fourth Proportional to 2,110.25, 3,165.42 and 649.53

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Solution

The fourth proportional to 2,110.25, 3,165.42 and 649.53 is: 974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.25 : 3,165.42 = 649.53 : x
  2. Step 2: Convert to fraction form
    2,110.25/3,165.42 = 649.53/x
  3. Step 3: Cross multiply
    2,110.25x = 3,165.42 × 649.53
  4. Step 4: Simplify right side
    2,110.25x = 2,056,035.25
  5. Step 5: Solve for x
    x = 2,056,035.25/2,110.25
  6. Step 6: Final answer
    x = 974.31

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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.