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Finding the Fourth Proportional to 3,275.02, 4,911.99 and 934.66

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Solution

The fourth proportional to 3,275.02, 4,911.99 and 934.66 is: 1,401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.02 : 4,911.99 = 934.66 : x
  2. Step 2: Convert to fraction form
    3,275.02/4,911.99 = 934.66/x
  3. Step 3: Cross multiply
    3,275.02x = 4,911.99 × 934.66
  4. Step 4: Simplify right side
    3,275.02x = 4,591,040.57
  5. Step 5: Solve for x
    x = 4,591,040.57/3,275.02
  6. Step 6: Final answer
    x = 1,401.84

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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.