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Finding the Fourth Proportional to 2,008.40, 2,771.68 and 1,124.20

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Solution

The fourth proportional to 2,008.40, 2,771.68 and 1,124.20 is: 1,551.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.40 : 2,771.68 = 1,124.20 : x
  2. Step 2: Convert to fraction form
    2,008.40/2,771.68 = 1,124.20/x
  3. Step 3: Cross multiply
    2,008.40x = 2,771.68 × 1,124.20
  4. Step 4: Simplify right side
    2,008.40x = 3,115,922.66
  5. Step 5: Solve for x
    x = 3,115,922.66/2,008.40
  6. Step 6: Final answer
    x = 1,551.45

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