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Finding the Fourth Proportional to 2,851.59, 3,934.26 and 1,671.83

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Solution

The fourth proportional to 2,851.59, 3,934.26 and 1,671.83 is: 2,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.59 : 3,934.26 = 1,671.83 : x
  2. Step 2: Convert to fraction form
    2,851.59/3,934.26 = 1,671.83/x
  3. Step 3: Cross multiply
    2,851.59x = 3,934.26 × 1,671.83
  4. Step 4: Simplify right side
    2,851.59x = 6,577,413.90
  5. Step 5: Solve for x
    x = 6,577,413.90/2,851.59
  6. Step 6: Final answer
    x = 2,306.58

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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.