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Finding the Fourth Proportional to 1,674.46, 2,512.23 and 1,187.11

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Solution

The fourth proportional to 1,674.46, 2,512.23 and 1,187.11 is: 1,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.46 : 2,512.23 = 1,187.11 : x
  2. Step 2: Convert to fraction form
    1,674.46/2,512.23 = 1,187.11/x
  3. Step 3: Cross multiply
    1,674.46x = 2,512.23 × 1,187.11
  4. Step 4: Simplify right side
    1,674.46x = 2,982,293.36
  5. Step 5: Solve for x
    x = 2,982,293.36/1,674.46
  6. Step 6: Final answer
    x = 1,781.05

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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.