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Finding the Fourth Proportional to 2,161.68, 3,244.06 and 1,066.34

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Solution

The fourth proportional to 2,161.68, 3,244.06 and 1,066.34 is: 1,600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.68 : 3,244.06 = 1,066.34 : x
  2. Step 2: Convert to fraction form
    2,161.68/3,244.06 = 1,066.34/x
  3. Step 3: Cross multiply
    2,161.68x = 3,244.06 × 1,066.34
  4. Step 4: Simplify right side
    2,161.68x = 3,459,270.94
  5. Step 5: Solve for x
    x = 3,459,270.94/2,161.68
  6. Step 6: Final answer
    x = 1,600.27

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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.