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Finding the Fourth Proportional to 1,822.17, 2,745.44 and 1,649.03

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Solution

The fourth proportional to 1,822.17, 2,745.44 and 1,649.03 is: 2,484.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.17 : 2,745.44 = 1,649.03 : x
  2. Step 2: Convert to fraction form
    1,822.17/2,745.44 = 1,649.03/x
  3. Step 3: Cross multiply
    1,822.17x = 2,745.44 × 1,649.03
  4. Step 4: Simplify right side
    1,822.17x = 4,527,323.91
  5. Step 5: Solve for x
    x = 4,527,323.91/1,822.17
  6. Step 6: Final answer
    x = 2,484.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.