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Finding the Fourth Proportional to 2,933.42, 4,399.77 and 742.16

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Solution

The fourth proportional to 2,933.42, 4,399.77 and 742.16 is: 1,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.42 : 4,399.77 = 742.16 : x
  2. Step 2: Convert to fraction form
    2,933.42/4,399.77 = 742.16/x
  3. Step 3: Cross multiply
    2,933.42x = 4,399.77 × 742.16
  4. Step 4: Simplify right side
    2,933.42x = 3,265,342.91
  5. Step 5: Solve for x
    x = 3,265,342.91/2,933.42
  6. Step 6: Final answer
    x = 1,113.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.