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Finding the Fourth Proportional to 1,946.03, 2,687.73 and 1,285.82

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Solution

The fourth proportional to 1,946.03, 2,687.73 and 1,285.82 is: 1,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.03 : 2,687.73 = 1,285.82 : x
  2. Step 2: Convert to fraction form
    1,946.03/2,687.73 = 1,285.82/x
  3. Step 3: Cross multiply
    1,946.03x = 2,687.73 × 1,285.82
  4. Step 4: Simplify right side
    1,946.03x = 3,455,951.16
  5. Step 5: Solve for x
    x = 3,455,951.16/1,946.03
  6. Step 6: Final answer
    x = 1,775.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.