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Finding the Fourth Proportional to 3,139.98, 4,705.50 and 2,311.75

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Solution

The fourth proportional to 3,139.98, 4,705.50 and 2,311.75 is: 3,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.98 : 4,705.50 = 2,311.75 : x
  2. Step 2: Convert to fraction form
    3,139.98/4,705.50 = 2,311.75/x
  3. Step 3: Cross multiply
    3,139.98x = 4,705.50 × 2,311.75
  4. Step 4: Simplify right side
    3,139.98x = 10,877,954.18
  5. Step 5: Solve for x
    x = 10,877,954.18/3,139.98
  6. Step 6: Final answer
    x = 3,464.34

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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.