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Finding the Fourth Proportional to 3,407.82, 4,701.69 and 2,009.22

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Solution

The fourth proportional to 3,407.82, 4,701.69 and 2,009.22 is: 2,772.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.82 : 4,701.69 = 2,009.22 : x
  2. Step 2: Convert to fraction form
    3,407.82/4,701.69 = 2,009.22/x
  3. Step 3: Cross multiply
    3,407.82x = 4,701.69 × 2,009.22
  4. Step 4: Simplify right side
    3,407.82x = 9,446,729.58
  5. Step 5: Solve for x
    x = 9,446,729.58/3,407.82
  6. Step 6: Final answer
    x = 2,772.07

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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.