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Finding the Fourth Proportional to 2,638.92, 3,641.12 and 1,576.40

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Solution

The fourth proportional to 2,638.92, 3,641.12 and 1,576.40 is: 2,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.92 : 3,641.12 = 1,576.40 : x
  2. Step 2: Convert to fraction form
    2,638.92/3,641.12 = 1,576.40/x
  3. Step 3: Cross multiply
    2,638.92x = 3,641.12 × 1,576.40
  4. Step 4: Simplify right side
    2,638.92x = 5,739,861.57
  5. Step 5: Solve for x
    x = 5,739,861.57/2,638.92
  6. Step 6: Final answer
    x = 2,175.08

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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.