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Finding the Fourth Proportional to 2,699.42, 4,049.67 and 968.18

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Solution

The fourth proportional to 2,699.42, 4,049.67 and 968.18 is: 1,452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.42 : 4,049.67 = 968.18 : x
  2. Step 2: Convert to fraction form
    2,699.42/4,049.67 = 968.18/x
  3. Step 3: Cross multiply
    2,699.42x = 4,049.67 × 968.18
  4. Step 4: Simplify right side
    2,699.42x = 3,920,809.50
  5. Step 5: Solve for x
    x = 3,920,809.50/2,699.42
  6. Step 6: Final answer
    x = 1,452.46

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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.