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Finding the Fourth Proportional to 3,002.38, 4,503.88 and 922.36

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Solution

The fourth proportional to 3,002.38, 4,503.88 and 922.36 is: 1,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.38 : 4,503.88 = 922.36 : x
  2. Step 2: Convert to fraction form
    3,002.38/4,503.88 = 922.36/x
  3. Step 3: Cross multiply
    3,002.38x = 4,503.88 × 922.36
  4. Step 4: Simplify right side
    3,002.38x = 4,154,198.76
  5. Step 5: Solve for x
    x = 4,154,198.76/3,002.38
  6. Step 6: Final answer
    x = 1,383.64

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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.