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Finding the Fourth Proportional to 2,093.75, 3,139.86 and 860.52

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Solution

The fourth proportional to 2,093.75, 3,139.86 and 860.52 is: 1,290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.75 : 3,139.86 = 860.52 : x
  2. Step 2: Convert to fraction form
    2,093.75/3,139.86 = 860.52/x
  3. Step 3: Cross multiply
    2,093.75x = 3,139.86 × 860.52
  4. Step 4: Simplify right side
    2,093.75x = 2,701,927.33
  5. Step 5: Solve for x
    x = 2,701,927.33/2,093.75
  6. Step 6: Final answer
    x = 1,290.47

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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.