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Finding the Fourth Proportional to 2,008.64, 2,771.87 and 1,124.43

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Solution

The fourth proportional to 2,008.64, 2,771.87 and 1,124.43 is: 1,551.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.64 : 2,771.87 = 1,124.43 : x
  2. Step 2: Convert to fraction form
    2,008.64/2,771.87 = 1,124.43/x
  3. Step 3: Cross multiply
    2,008.64x = 2,771.87 × 1,124.43
  4. Step 4: Simplify right side
    2,008.64x = 3,116,768.16
  5. Step 5: Solve for x
    x = 3,116,768.16/2,008.64
  6. Step 6: Final answer
    x = 1,551.68

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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.