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Finding the Fourth Proportional to 2,949.34, 4,424.01 and 758.07

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Solution

The fourth proportional to 2,949.34, 4,424.01 and 758.07 is: 1,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.34 : 4,424.01 = 758.07 : x
  2. Step 2: Convert to fraction form
    2,949.34/4,424.01 = 758.07/x
  3. Step 3: Cross multiply
    2,949.34x = 4,424.01 × 758.07
  4. Step 4: Simplify right side
    2,949.34x = 3,353,708.55
  5. Step 5: Solve for x
    x = 3,353,708.55/2,949.34
  6. Step 6: Final answer
    x = 1,137.11

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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.