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Finding the Fourth Proportional to 2,319.96, 3,479.76 and 933.24

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Solution

The fourth proportional to 2,319.96, 3,479.76 and 933.24 is: 1,399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.96 : 3,479.76 = 933.24 : x
  2. Step 2: Convert to fraction form
    2,319.96/3,479.76 = 933.24/x
  3. Step 3: Cross multiply
    2,319.96x = 3,479.76 × 933.24
  4. Step 4: Simplify right side
    2,319.96x = 3,247,451.22
  5. Step 5: Solve for x
    x = 3,247,451.22/2,319.96
  6. Step 6: Final answer
    x = 1,399.79

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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.