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Finding the Fourth Proportional to 2,008.40, 2,771.44 and 1,124

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Solution

The fourth proportional to 2,008.40, 2,771.44 and 1,124 is: 1,551.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.40 : 2,771.44 = 1,124 : x
  2. Step 2: Convert to fraction form
    2,008.40/2,771.44 = 1,124/x
  3. Step 3: Cross multiply
    2,008.40x = 2,771.44 × 1,124
  4. Step 4: Simplify right side
    2,008.40x = 3,115,098.56
  5. Step 5: Solve for x
    x = 3,115,098.56/2,008.40
  6. Step 6: Final answer
    x = 1,551.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.