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Finding the Fourth Proportional to 3,055.95, 4,216.85 and 1,711.63

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Solution

The fourth proportional to 3,055.95, 4,216.85 and 1,711.63 is: 2,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.95 : 4,216.85 = 1,711.63 : x
  2. Step 2: Convert to fraction form
    3,055.95/4,216.85 = 1,711.63/x
  3. Step 3: Cross multiply
    3,055.95x = 4,216.85 × 1,711.63
  4. Step 4: Simplify right side
    3,055.95x = 7,217,687.69
  5. Step 5: Solve for x
    x = 7,217,687.69/3,055.95
  6. Step 6: Final answer
    x = 2,361.85

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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.