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Finding the Fourth Proportional to 2,094.60, 3,139.14 and 860.31

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Solution

The fourth proportional to 2,094.60, 3,139.14 and 860.31 is: 1,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.60 : 3,139.14 = 860.31 : x
  2. Step 2: Convert to fraction form
    2,094.60/3,139.14 = 860.31/x
  3. Step 3: Cross multiply
    2,094.60x = 3,139.14 × 860.31
  4. Step 4: Simplify right side
    2,094.60x = 2,700,633.53
  5. Step 5: Solve for x
    x = 2,700,633.53/2,094.60
  6. Step 6: Final answer
    x = 1,289.33

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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.