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Finding the Fourth Proportional to 1,781.25, 2,670.75 and 857.04

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Solution

The fourth proportional to 1,781.25, 2,670.75 and 857.04 is: 1,285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.25 : 2,670.75 = 857.04 : x
  2. Step 2: Convert to fraction form
    1,781.25/2,670.75 = 857.04/x
  3. Step 3: Cross multiply
    1,781.25x = 2,670.75 × 857.04
  4. Step 4: Simplify right side
    1,781.25x = 2,288,939.58
  5. Step 5: Solve for x
    x = 2,288,939.58/1,781.25
  6. Step 6: Final answer
    x = 1,285.02

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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.