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Finding the Fourth Proportional to 2,318.58, 3,462.11 and 1,826.10

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Solution

The fourth proportional to 2,318.58, 3,462.11 and 1,826.10 is: 2,726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.58 : 3,462.11 = 1,826.10 : x
  2. Step 2: Convert to fraction form
    2,318.58/3,462.11 = 1,826.10/x
  3. Step 3: Cross multiply
    2,318.58x = 3,462.11 × 1,826.10
  4. Step 4: Simplify right side
    2,318.58x = 6,322,149.94
  5. Step 5: Solve for x
    x = 6,322,149.94/2,318.58
  6. Step 6: Final answer
    x = 2,726.73

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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.