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Finding the Fourth Proportional to 2,698.52, 4,047.77 and 2,083.12

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Solution

The fourth proportional to 2,698.52, 4,047.77 and 2,083.12 is: 3,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.52 : 4,047.77 = 2,083.12 : x
  2. Step 2: Convert to fraction form
    2,698.52/4,047.77 = 2,083.12/x
  3. Step 3: Cross multiply
    2,698.52x = 4,047.77 × 2,083.12
  4. Step 4: Simplify right side
    2,698.52x = 8,431,985.73
  5. Step 5: Solve for x
    x = 8,431,985.73/2,698.52
  6. Step 6: Final answer
    x = 3,124.68

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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.