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Finding the Fourth Proportional to 2,384.02, 3,577.05 and 997.68

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Solution

The fourth proportional to 2,384.02, 3,577.05 and 997.68 is: 1,496.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.02 : 3,577.05 = 997.68 : x
  2. Step 2: Convert to fraction form
    2,384.02/3,577.05 = 997.68/x
  3. Step 3: Cross multiply
    2,384.02x = 3,577.05 × 997.68
  4. Step 4: Simplify right side
    2,384.02x = 3,568,751.24
  5. Step 5: Solve for x
    x = 3,568,751.24/2,384.02
  6. Step 6: Final answer
    x = 1,496.95

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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.