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Finding the Fourth Proportional to 2,823.99, 4,238.58 and 1,438.32

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Solution

The fourth proportional to 2,823.99, 4,238.58 and 1,438.32 is: 2,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.99 : 4,238.58 = 1,438.32 : x
  2. Step 2: Convert to fraction form
    2,823.99/4,238.58 = 1,438.32/x
  3. Step 3: Cross multiply
    2,823.99x = 4,238.58 × 1,438.32
  4. Step 4: Simplify right side
    2,823.99x = 6,096,413.19
  5. Step 5: Solve for x
    x = 6,096,413.19/2,823.99
  6. Step 6: Final answer
    x = 2,158.80

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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.