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Finding the Fourth Proportional to 3,002.01, 4,503.69 and 922.20

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Solution

The fourth proportional to 3,002.01, 4,503.69 and 922.20 is: 1,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.01 : 4,503.69 = 922.20 : x
  2. Step 2: Convert to fraction form
    3,002.01/4,503.69 = 922.20/x
  3. Step 3: Cross multiply
    3,002.01x = 4,503.69 × 922.20
  4. Step 4: Simplify right side
    3,002.01x = 4,153,302.92
  5. Step 5: Solve for x
    x = 4,153,302.92/3,002.01
  6. Step 6: Final answer
    x = 1,383.51

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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.