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Finding the Fourth Proportional to 3,027.91, 4,532.13 and 2,038.90

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Solution

The fourth proportional to 3,027.91, 4,532.13 and 2,038.90 is: 3,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.91 : 4,532.13 = 2,038.90 : x
  2. Step 2: Convert to fraction form
    3,027.91/4,532.13 = 2,038.90/x
  3. Step 3: Cross multiply
    3,027.91x = 4,532.13 × 2,038.90
  4. Step 4: Simplify right side
    3,027.91x = 9,240,537.20
  5. Step 5: Solve for x
    x = 9,240,537.20/3,027.91
  6. Step 6: Final answer
    x = 3,051.79

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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.