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Finding the Fourth Proportional to 2,823.95, 3,900.69 and 2,168.87

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Solution

The fourth proportional to 2,823.95, 3,900.69 and 2,168.87 is: 2,995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.95 : 3,900.69 = 2,168.87 : x
  2. Step 2: Convert to fraction form
    2,823.95/3,900.69 = 2,168.87/x
  3. Step 3: Cross multiply
    2,823.95x = 3,900.69 × 2,168.87
  4. Step 4: Simplify right side
    2,823.95x = 8,460,070.02
  5. Step 5: Solve for x
    x = 8,460,070.02/2,823.95
  6. Step 6: Final answer
    x = 2,995.83

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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.