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Finding the Fourth Proportional to 2,027.65, 3,040.12 and 1,638.13

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Solution

The fourth proportional to 2,027.65, 3,040.12 and 1,638.13 is: 2,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.65 : 3,040.12 = 1,638.13 : x
  2. Step 2: Convert to fraction form
    2,027.65/3,040.12 = 1,638.13/x
  3. Step 3: Cross multiply
    2,027.65x = 3,040.12 × 1,638.13
  4. Step 4: Simplify right side
    2,027.65x = 4,980,111.78
  5. Step 5: Solve for x
    x = 4,980,111.78/2,027.65
  6. Step 6: Final answer
    x = 2,456.10

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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.