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Finding the Fourth Proportional to 2,649.12, 3,654.45 and 1,641.12

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Solution

The fourth proportional to 2,649.12, 3,654.45 and 1,641.12 is: 2,263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.12 : 3,654.45 = 1,641.12 : x
  2. Step 2: Convert to fraction form
    2,649.12/3,654.45 = 1,641.12/x
  3. Step 3: Cross multiply
    2,649.12x = 3,654.45 × 1,641.12
  4. Step 4: Simplify right side
    2,649.12x = 5,997,390.98
  5. Step 5: Solve for x
    x = 5,997,390.98/2,649.12
  6. Step 6: Final answer
    x = 2,263.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.