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Finding the Fourth Proportional to 1,866.31, 2,798.56 and 696.27

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Solution

The fourth proportional to 1,866.31, 2,798.56 and 696.27 is: 1,044.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.31 : 2,798.56 = 696.27 : x
  2. Step 2: Convert to fraction form
    1,866.31/2,798.56 = 696.27/x
  3. Step 3: Cross multiply
    1,866.31x = 2,798.56 × 696.27
  4. Step 4: Simplify right side
    1,866.31x = 1,948,553.37
  5. Step 5: Solve for x
    x = 1,948,553.37/1,866.31
  6. Step 6: Final answer
    x = 1,044.07

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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.