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Finding the Fourth Proportional to 2,008.92, 3,017.70 and 1,490.52

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Solution

The fourth proportional to 2,008.92, 3,017.70 and 1,490.52 is: 2,238.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.92 : 3,017.70 = 1,490.52 : x
  2. Step 2: Convert to fraction form
    2,008.92/3,017.70 = 1,490.52/x
  3. Step 3: Cross multiply
    2,008.92x = 3,017.70 × 1,490.52
  4. Step 4: Simplify right side
    2,008.92x = 4,497,942.20
  5. Step 5: Solve for x
    x = 4,497,942.20/2,008.92
  6. Step 6: Final answer
    x = 2,238.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.