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Finding the Fourth Proportional to 2,235.78, 3,338.51 and 2,082.69

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Solution

The fourth proportional to 2,235.78, 3,338.51 and 2,082.69 is: 3,109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.78 : 3,338.51 = 2,082.69 : x
  2. Step 2: Convert to fraction form
    2,235.78/3,338.51 = 2,082.69/x
  3. Step 3: Cross multiply
    2,235.78x = 3,338.51 × 2,082.69
  4. Step 4: Simplify right side
    2,235.78x = 6,953,070.98
  5. Step 5: Solve for x
    x = 6,953,070.98/2,235.78
  6. Step 6: Final answer
    x = 3,109.91

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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.