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Finding the Fourth Proportional to 2,093.40, 3,140.02 and 860.44

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Solution

The fourth proportional to 2,093.40, 3,140.02 and 860.44 is: 1,290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.40 : 3,140.02 = 860.44 : x
  2. Step 2: Convert to fraction form
    2,093.40/3,140.02 = 860.44/x
  3. Step 3: Cross multiply
    2,093.40x = 3,140.02 × 860.44
  4. Step 4: Simplify right side
    2,093.40x = 2,701,798.81
  5. Step 5: Solve for x
    x = 2,701,798.81/2,093.40
  6. Step 6: Final answer
    x = 1,290.63

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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.