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Finding the Fourth Proportional to 3,197.99, 4,797.63 and 1,006.21

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Solution

The fourth proportional to 3,197.99, 4,797.63 and 1,006.21 is: 1,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.99 : 4,797.63 = 1,006.21 : x
  2. Step 2: Convert to fraction form
    3,197.99/4,797.63 = 1,006.21/x
  3. Step 3: Cross multiply
    3,197.99x = 4,797.63 × 1,006.21
  4. Step 4: Simplify right side
    3,197.99x = 4,827,402.29
  5. Step 5: Solve for x
    x = 4,827,402.29/3,197.99
  6. Step 6: Final answer
    x = 1,509.51

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Double scale
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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.