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Finding the Fourth Proportional to 3,122.30, 4,684.03 and 930.78

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Solution

The fourth proportional to 3,122.30, 4,684.03 and 930.78 is: 1,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.30 : 4,684.03 = 930.78 : x
  2. Step 2: Convert to fraction form
    3,122.30/4,684.03 = 930.78/x
  3. Step 3: Cross multiply
    3,122.30x = 4,684.03 × 930.78
  4. Step 4: Simplify right side
    3,122.30x = 4,359,799.12
  5. Step 5: Solve for x
    x = 4,359,799.12/3,122.30
  6. Step 6: Final answer
    x = 1,396.34

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1.5x scale

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.