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Finding the Fourth Proportional to 2,879.66, 4,319.22 and 933.14

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Solution

The fourth proportional to 2,879.66, 4,319.22 and 933.14 is: 1,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.66 : 4,319.22 = 933.14 : x
  2. Step 2: Convert to fraction form
    2,879.66/4,319.22 = 933.14/x
  3. Step 3: Cross multiply
    2,879.66x = 4,319.22 × 933.14
  4. Step 4: Simplify right side
    2,879.66x = 4,030,436.95
  5. Step 5: Solve for x
    x = 4,030,436.95/2,879.66
  6. Step 6: Final answer
    x = 1,399.62

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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.