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Finding the Fourth Proportional to 2,014.32, 3,022.68 and 860.07

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Solution

The fourth proportional to 2,014.32, 3,022.68 and 860.07 is: 1,290.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.32 : 3,022.68 = 860.07 : x
  2. Step 2: Convert to fraction form
    2,014.32/3,022.68 = 860.07/x
  3. Step 3: Cross multiply
    2,014.32x = 3,022.68 × 860.07
  4. Step 4: Simplify right side
    2,014.32x = 2,599,716.39
  5. Step 5: Solve for x
    x = 2,599,716.39/2,014.32
  6. Step 6: Final answer
    x = 1,290.62

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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.