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Finding the Fourth Proportional to 2,826.15, 4,235.81 and 2,494.01

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Solution

The fourth proportional to 2,826.15, 4,235.81 and 2,494.01 is: 3,737.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.15 : 4,235.81 = 2,494.01 : x
  2. Step 2: Convert to fraction form
    2,826.15/4,235.81 = 2,494.01/x
  3. Step 3: Cross multiply
    2,826.15x = 4,235.81 × 2,494.01
  4. Step 4: Simplify right side
    2,826.15x = 10,564,118.85
  5. Step 5: Solve for x
    x = 10,564,118.85/2,826.15
  6. Step 6: Final answer
    x = 3,737.99

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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.