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Finding the Fourth Proportional to 2,039.49, 3,064.10 and 1,174.41

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Solution

The fourth proportional to 2,039.49, 3,064.10 and 1,174.41 is: 1,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.49 : 3,064.10 = 1,174.41 : x
  2. Step 2: Convert to fraction form
    2,039.49/3,064.10 = 1,174.41/x
  3. Step 3: Cross multiply
    2,039.49x = 3,064.10 × 1,174.41
  4. Step 4: Simplify right side
    2,039.49x = 3,598,503.81
  5. Step 5: Solve for x
    x = 3,598,503.81/2,039.49
  6. Step 6: Final answer
    x = 1,764.41

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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.