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Finding the Fourth Proportional to 2,721.42, 4,083.48 and 1,078.38

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Solution

The fourth proportional to 2,721.42, 4,083.48 and 1,078.38 is: 1,618.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.42 : 4,083.48 = 1,078.38 : x
  2. Step 2: Convert to fraction form
    2,721.42/4,083.48 = 1,078.38/x
  3. Step 3: Cross multiply
    2,721.42x = 4,083.48 × 1,078.38
  4. Step 4: Simplify right side
    2,721.42x = 4,403,543.16
  5. Step 5: Solve for x
    x = 4,403,543.16/2,721.42
  6. Step 6: Final answer
    x = 1,618.10

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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.