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Finding the Fourth Proportional to 2,673.85, 3,689.89 and 1,478.92

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Solution

The fourth proportional to 2,673.85, 3,689.89 and 1,478.92 is: 2,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.85 : 3,689.89 = 1,478.92 : x
  2. Step 2: Convert to fraction form
    2,673.85/3,689.89 = 1,478.92/x
  3. Step 3: Cross multiply
    2,673.85x = 3,689.89 × 1,478.92
  4. Step 4: Simplify right side
    2,673.85x = 5,457,052.12
  5. Step 5: Solve for x
    x = 5,457,052.12/2,673.85
  6. Step 6: Final answer
    x = 2,040.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.