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Finding the Fourth Proportional to 3,165.95, 4,367.48 and 2,047.86

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Solution

The fourth proportional to 3,165.95, 4,367.48 and 2,047.86 is: 2,825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.95 : 4,367.48 = 2,047.86 : x
  2. Step 2: Convert to fraction form
    3,165.95/4,367.48 = 2,047.86/x
  3. Step 3: Cross multiply
    3,165.95x = 4,367.48 × 2,047.86
  4. Step 4: Simplify right side
    3,165.95x = 8,943,977.35
  5. Step 5: Solve for x
    x = 8,943,977.35/3,165.95
  6. Step 6: Final answer
    x = 2,825.05

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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.