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Finding the Fourth Proportional to 1,101.61, 1,641.22 and 1,049.37

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Solution

The fourth proportional to 1,101.61, 1,641.22 and 1,049.37 is: 1,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.61 : 1,641.22 = 1,049.37 : x
  2. Step 2: Convert to fraction form
    1,101.61/1,641.22 = 1,049.37/x
  3. Step 3: Cross multiply
    1,101.61x = 1,641.22 × 1,049.37
  4. Step 4: Simplify right side
    1,101.61x = 1,722,238.25
  5. Step 5: Solve for x
    x = 1,722,238.25/1,101.61
  6. Step 6: Final answer
    x = 1,563.38

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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.