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Finding the Fourth Proportional to 3,003.30, 4,504.28 and 922.95

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Solution

The fourth proportional to 3,003.30, 4,504.28 and 922.95 is: 1,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.30 : 4,504.28 = 922.95 : x
  2. Step 2: Convert to fraction form
    3,003.30/4,504.28 = 922.95/x
  3. Step 3: Cross multiply
    3,003.30x = 4,504.28 × 922.95
  4. Step 4: Simplify right side
    3,003.30x = 4,157,220.61
  5. Step 5: Solve for x
    x = 4,157,220.61/3,003.30
  6. Step 6: Final answer
    x = 1,384.22

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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.