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Finding the Fourth Proportional to 2,326.61, 3,490.37 and 1,028.09

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Solution

The fourth proportional to 2,326.61, 3,490.37 and 1,028.09 is: 1,542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.61 : 3,490.37 = 1,028.09 : x
  2. Step 2: Convert to fraction form
    2,326.61/3,490.37 = 1,028.09/x
  3. Step 3: Cross multiply
    2,326.61x = 3,490.37 × 1,028.09
  4. Step 4: Simplify right side
    2,326.61x = 3,588,391.90
  5. Step 5: Solve for x
    x = 3,588,391.90/2,326.61
  6. Step 6: Final answer
    x = 1,542.33

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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.