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Finding the Fourth Proportional to 2,844.47, 4,266.71 and 1,111.88

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Solution

The fourth proportional to 2,844.47, 4,266.71 and 1,111.88 is: 1,667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.47 : 4,266.71 = 1,111.88 : x
  2. Step 2: Convert to fraction form
    2,844.47/4,266.71 = 1,111.88/x
  3. Step 3: Cross multiply
    2,844.47x = 4,266.71 × 1,111.88
  4. Step 4: Simplify right side
    2,844.47x = 4,744,042.62
  5. Step 5: Solve for x
    x = 4,744,042.62/2,844.47
  6. Step 6: Final answer
    x = 1,667.82

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