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Finding the Fourth Proportional to 2,110.42, 3,165.58 and 649.54

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Solution

The fourth proportional to 2,110.42, 3,165.58 and 649.54 is: 974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.42 : 3,165.58 = 649.54 : x
  2. Step 2: Convert to fraction form
    2,110.42/3,165.58 = 649.54/x
  3. Step 3: Cross multiply
    2,110.42x = 3,165.58 × 649.54
  4. Step 4: Simplify right side
    2,110.42x = 2,056,170.83
  5. Step 5: Solve for x
    x = 2,056,170.83/2,110.42
  6. Step 6: Final answer
    x = 974.29

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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.