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Finding the Fourth Proportional to 1,832.12, 2,746.88 and 857.69

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Solution

The fourth proportional to 1,832.12, 2,746.88 and 857.69 is: 1,285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.12 : 2,746.88 = 857.69 : x
  2. Step 2: Convert to fraction form
    1,832.12/2,746.88 = 857.69/x
  3. Step 3: Cross multiply
    1,832.12x = 2,746.88 × 857.69
  4. Step 4: Simplify right side
    1,832.12x = 2,355,974.09
  5. Step 5: Solve for x
    x = 2,355,974.09/1,832.12
  6. Step 6: Final answer
    x = 1,285.93

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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.