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Finding the Fourth Proportional to 2,014.26, 3,022 and 860.10

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Solution

The fourth proportional to 2,014.26, 3,022 and 860.10 is: 1,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.26 : 3,022 = 860.10 : x
  2. Step 2: Convert to fraction form
    2,014.26/3,022 = 860.10/x
  3. Step 3: Cross multiply
    2,014.26x = 3,022 × 860.10
  4. Step 4: Simplify right side
    2,014.26x = 2,599,222.20
  5. Step 5: Solve for x
    x = 2,599,222.20/2,014.26
  6. Step 6: Final answer
    x = 1,290.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.