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Finding the Fourth Proportional to 2,161.71, 3,242.52 and 1,466.64

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Solution

The fourth proportional to 2,161.71, 3,242.52 and 1,466.64 is: 2,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.71 : 3,242.52 = 1,466.64 : x
  2. Step 2: Convert to fraction form
    2,161.71/3,242.52 = 1,466.64/x
  3. Step 3: Cross multiply
    2,161.71x = 3,242.52 × 1,466.64
  4. Step 4: Simplify right side
    2,161.71x = 4,755,609.53
  5. Step 5: Solve for x
    x = 4,755,609.53/2,161.71
  6. Step 6: Final answer
    x = 2,199.93

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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.