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Finding the Fourth Proportional to 2,438.98, 3,658.47 and 879.19

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Solution

The fourth proportional to 2,438.98, 3,658.47 and 879.19 is: 1,318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.98 : 3,658.47 = 879.19 : x
  2. Step 2: Convert to fraction form
    2,438.98/3,658.47 = 879.19/x
  3. Step 3: Cross multiply
    2,438.98x = 3,658.47 × 879.19
  4. Step 4: Simplify right side
    2,438.98x = 3,216,490.24
  5. Step 5: Solve for x
    x = 3,216,490.24/2,438.98
  6. Step 6: Final answer
    x = 1,318.79

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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.