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Finding the Fourth Proportional to 3,242.64, 4,864.76 and 934.12

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Solution

The fourth proportional to 3,242.64, 4,864.76 and 934.12 is: 1,401.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.64 : 4,864.76 = 934.12 : x
  2. Step 2: Convert to fraction form
    3,242.64/4,864.76 = 934.12/x
  3. Step 3: Cross multiply
    3,242.64x = 4,864.76 × 934.12
  4. Step 4: Simplify right side
    3,242.64x = 4,544,269.61
  5. Step 5: Solve for x
    x = 4,544,269.61/3,242.64
  6. Step 6: Final answer
    x = 1,401.41

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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.