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Finding the Fourth Proportional to 4,014.68, 6,022.20 and 1,706

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Solution

The fourth proportional to 4,014.68, 6,022.20 and 1,706 is: 2,559.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014.68 : 6,022.20 = 1,706 : x
  2. Step 2: Convert to fraction form
    4,014.68/6,022.20 = 1,706/x
  3. Step 3: Cross multiply
    4,014.68x = 6,022.20 × 1,706
  4. Step 4: Simplify right side
    4,014.68x = 10,273,873.20
  5. Step 5: Solve for x
    x = 10,273,873.20/4,014.68
  6. Step 6: Final answer
    x = 2,559.08

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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.