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Finding the Fourth Proportional to 2,008.10, 3,004.05 and 1,737.20

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Solution

The fourth proportional to 2,008.10, 3,004.05 and 1,737.20 is: 2,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.10 : 3,004.05 = 1,737.20 : x
  2. Step 2: Convert to fraction form
    2,008.10/3,004.05 = 1,737.20/x
  3. Step 3: Cross multiply
    2,008.10x = 3,004.05 × 1,737.20
  4. Step 4: Simplify right side
    2,008.10x = 5,218,635.66
  5. Step 5: Solve for x
    x = 5,218,635.66/2,008.10
  6. Step 6: Final answer
    x = 2,598.79

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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.