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Finding the Fourth Proportional to 3,242.56, 4,864.02 and 934

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Solution

The fourth proportional to 3,242.56, 4,864.02 and 934 is: 1,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.56 : 4,864.02 = 934 : x
  2. Step 2: Convert to fraction form
    3,242.56/4,864.02 = 934/x
  3. Step 3: Cross multiply
    3,242.56x = 4,864.02 × 934
  4. Step 4: Simplify right side
    3,242.56x = 4,542,994.68
  5. Step 5: Solve for x
    x = 4,542,994.68/3,242.56
  6. Step 6: Final answer
    x = 1,401.05

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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.