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Finding the Fourth Proportional to 2,458.15, 3,689.17 and 1,288.51

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Solution

The fourth proportional to 2,458.15, 3,689.17 and 1,288.51 is: 1,933.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.15 : 3,689.17 = 1,288.51 : x
  2. Step 2: Convert to fraction form
    2,458.15/3,689.17 = 1,288.51/x
  3. Step 3: Cross multiply
    2,458.15x = 3,689.17 × 1,288.51
  4. Step 4: Simplify right side
    2,458.15x = 4,753,519.99
  5. Step 5: Solve for x
    x = 4,753,519.99/2,458.15
  6. Step 6: Final answer
    x = 1,933.78

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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.