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Finding the Fourth Proportional to 2,093.28, 3,137.46 and 860.08

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Solution

The fourth proportional to 2,093.28, 3,137.46 and 860.08 is: 1,289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.28 : 3,137.46 = 860.08 : x
  2. Step 2: Convert to fraction form
    2,093.28/3,137.46 = 860.08/x
  3. Step 3: Cross multiply
    2,093.28x = 3,137.46 × 860.08
  4. Step 4: Simplify right side
    2,093.28x = 2,698,466.60
  5. Step 5: Solve for x
    x = 2,698,466.60/2,093.28
  6. Step 6: Final answer
    x = 1,289.11

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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.