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Finding the Fourth Proportional to 2,721.42, 4,083.66 and 1,182.42

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Solution

The fourth proportional to 2,721.42, 4,083.66 and 1,182.42 is: 1,774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.42 : 4,083.66 = 1,182.42 : x
  2. Step 2: Convert to fraction form
    2,721.42/4,083.66 = 1,182.42/x
  3. Step 3: Cross multiply
    2,721.42x = 4,083.66 × 1,182.42
  4. Step 4: Simplify right side
    2,721.42x = 4,828,601.26
  5. Step 5: Solve for x
    x = 4,828,601.26/2,721.42
  6. Step 6: Final answer
    x = 1,774.29

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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.