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Finding the Fourth Proportional to 3,086.95, 4,259.74 and 1,760.57

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Solution

The fourth proportional to 3,086.95, 4,259.74 and 1,760.57 is: 2,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.95 : 4,259.74 = 1,760.57 : x
  2. Step 2: Convert to fraction form
    3,086.95/4,259.74 = 1,760.57/x
  3. Step 3: Cross multiply
    3,086.95x = 4,259.74 × 1,760.57
  4. Step 4: Simplify right side
    3,086.95x = 7,499,553.55
  5. Step 5: Solve for x
    x = 7,499,553.55/3,086.95
  6. Step 6: Final answer
    x = 2,429.44

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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.