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Finding the Fourth Proportional to 1,285.31, 1,918.59 and 1,103.87

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Solution

The fourth proportional to 1,285.31, 1,918.59 and 1,103.87 is: 1,647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.31 : 1,918.59 = 1,103.87 : x
  2. Step 2: Convert to fraction form
    1,285.31/1,918.59 = 1,103.87/x
  3. Step 3: Cross multiply
    1,285.31x = 1,918.59 × 1,103.87
  4. Step 4: Simplify right side
    1,285.31x = 2,117,873.94
  5. Step 5: Solve for x
    x = 2,117,873.94/1,285.31
  6. Step 6: Final answer
    x = 1,647.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.