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Finding the Fourth Proportional to 3,144.02, 4,715.90 and 952.66

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Solution

The fourth proportional to 3,144.02, 4,715.90 and 952.66 is: 1,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.02 : 4,715.90 = 952.66 : x
  2. Step 2: Convert to fraction form
    3,144.02/4,715.90 = 952.66/x
  3. Step 3: Cross multiply
    3,144.02x = 4,715.90 × 952.66
  4. Step 4: Simplify right side
    3,144.02x = 4,492,620.95
  5. Step 5: Solve for x
    x = 4,492,620.95/3,144.02
  6. Step 6: Final answer
    x = 1,428.94

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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.