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Finding the Fourth Proportional to 2,091.12, 3,134.31 and 856.95

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Solution

The fourth proportional to 2,091.12, 3,134.31 and 856.95 is: 1,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.12 : 3,134.31 = 856.95 : x
  2. Step 2: Convert to fraction form
    2,091.12/3,134.31 = 856.95/x
  3. Step 3: Cross multiply
    2,091.12x = 3,134.31 × 856.95
  4. Step 4: Simplify right side
    2,091.12x = 2,685,946.95
  5. Step 5: Solve for x
    x = 2,685,946.95/2,091.12
  6. Step 6: Final answer
    x = 1,284.45

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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.