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Finding the Fourth Proportional to 2,091.95, 3,135.21 and 857.90

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Solution

The fourth proportional to 2,091.95, 3,135.21 and 857.90 is: 1,285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.95 : 3,135.21 = 857.90 : x
  2. Step 2: Convert to fraction form
    2,091.95/3,135.21 = 857.90/x
  3. Step 3: Cross multiply
    2,091.95x = 3,135.21 × 857.90
  4. Step 4: Simplify right side
    2,091.95x = 2,689,696.66
  5. Step 5: Solve for x
    x = 2,689,696.66/2,091.95
  6. Step 6: Final answer
    x = 1,285.74

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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.