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Finding the Fourth Proportional to 2,354.95, 3,249.17 and 1,516.14

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Solution

The fourth proportional to 2,354.95, 3,249.17 and 1,516.14 is: 2,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.95 : 3,249.17 = 1,516.14 : x
  2. Step 2: Convert to fraction form
    2,354.95/3,249.17 = 1,516.14/x
  3. Step 3: Cross multiply
    2,354.95x = 3,249.17 × 1,516.14
  4. Step 4: Simplify right side
    2,354.95x = 4,926,192.58
  5. Step 5: Solve for x
    x = 4,926,192.58/2,354.95
  6. Step 6: Final answer
    x = 2,091.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.