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Finding the Fourth Proportional to 2,357.88, 3,516.23 and 2,066.73

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Solution

The fourth proportional to 2,357.88, 3,516.23 and 2,066.73 is: 3,082.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.88 : 3,516.23 = 2,066.73 : x
  2. Step 2: Convert to fraction form
    2,357.88/3,516.23 = 2,066.73/x
  3. Step 3: Cross multiply
    2,357.88x = 3,516.23 × 2,066.73
  4. Step 4: Simplify right side
    2,357.88x = 7,267,098.03
  5. Step 5: Solve for x
    x = 7,267,098.03/2,357.88
  6. Step 6: Final answer
    x = 3,082.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.