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Finding the Fourth Proportional to 2,301.67, 3,471.82 and 2,166.94

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Solution

The fourth proportional to 2,301.67, 3,471.82 and 2,166.94 is: 3,268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.67 : 3,471.82 = 2,166.94 : x
  2. Step 2: Convert to fraction form
    2,301.67/3,471.82 = 2,166.94/x
  3. Step 3: Cross multiply
    2,301.67x = 3,471.82 × 2,166.94
  4. Step 4: Simplify right side
    2,301.67x = 7,523,225.63
  5. Step 5: Solve for x
    x = 7,523,225.63/2,301.67
  6. Step 6: Final answer
    x = 3,268.59

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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.