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Finding the Fourth Proportional to 2,091.36, 3,134.34 and 857.35

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Solution

The fourth proportional to 2,091.36, 3,134.34 and 857.35 is: 1,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.36 : 3,134.34 = 857.35 : x
  2. Step 2: Convert to fraction form
    2,091.36/3,134.34 = 857.35/x
  3. Step 3: Cross multiply
    2,091.36x = 3,134.34 × 857.35
  4. Step 4: Simplify right side
    2,091.36x = 2,687,226.40
  5. Step 5: Solve for x
    x = 2,687,226.40/2,091.36
  6. Step 6: Final answer
    x = 1,284.92

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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.