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Finding the Fourth Proportional to 2,638.08, 3,640.16 and 1,459.20

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Solution

The fourth proportional to 2,638.08, 3,640.16 and 1,459.20 is: 2,013.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.08 : 3,640.16 = 1,459.20 : x
  2. Step 2: Convert to fraction form
    2,638.08/3,640.16 = 1,459.20/x
  3. Step 3: Cross multiply
    2,638.08x = 3,640.16 × 1,459.20
  4. Step 4: Simplify right side
    2,638.08x = 5,311,721.47
  5. Step 5: Solve for x
    x = 5,311,721.47/2,638.08
  6. Step 6: Final answer
    x = 2,013.48

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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.