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Finding the Fourth Proportional to 2,110.53, 3,165.81 and 649.68

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Solution

The fourth proportional to 2,110.53, 3,165.81 and 649.68 is: 974.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.53 : 3,165.81 = 649.68 : x
  2. Step 2: Convert to fraction form
    2,110.53/3,165.81 = 649.68/x
  3. Step 3: Cross multiply
    2,110.53x = 3,165.81 × 649.68
  4. Step 4: Simplify right side
    2,110.53x = 2,056,744.36
  5. Step 5: Solve for x
    x = 2,056,744.36/2,110.53
  6. Step 6: Final answer
    x = 974.52

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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.