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Finding the Fourth Proportional to 2,008.42, 2,771.70 and 1,124.21

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Solution

The fourth proportional to 2,008.42, 2,771.70 and 1,124.21 is: 1,551.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.42 : 2,771.70 = 1,124.21 : x
  2. Step 2: Convert to fraction form
    2,008.42/2,771.70 = 1,124.21/x
  3. Step 3: Cross multiply
    2,008.42x = 2,771.70 × 1,124.21
  4. Step 4: Simplify right side
    2,008.42x = 3,115,972.86
  5. Step 5: Solve for x
    x = 3,115,972.86/2,008.42
  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.