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Finding the Fourth Proportional to 2,458.15, 3,689.01 and 1,843.51

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Solution

The fourth proportional to 2,458.15, 3,689.01 and 1,843.51 is: 2,766.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.15 : 3,689.01 = 1,843.51 : x
  2. Step 2: Convert to fraction form
    2,458.15/3,689.01 = 1,843.51/x
  3. Step 3: Cross multiply
    2,458.15x = 3,689.01 × 1,843.51
  4. Step 4: Simplify right side
    2,458.15x = 6,800,726.83
  5. Step 5: Solve for x
    x = 6,800,726.83/2,458.15
  6. Step 6: Final answer
    x = 2,766.60

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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.