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Finding the Fourth Proportional to 2,006.47, 3,009.02 and 774.30

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Solution

The fourth proportional to 2,006.47, 3,009.02 and 774.30 is: 1,161.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.47 : 3,009.02 = 774.30 : x
  2. Step 2: Convert to fraction form
    2,006.47/3,009.02 = 774.30/x
  3. Step 3: Cross multiply
    2,006.47x = 3,009.02 × 774.30
  4. Step 4: Simplify right side
    2,006.47x = 2,329,891.60
  5. Step 5: Solve for x
    x = 2,329,891.60/2,006.47
  6. Step 6: Final answer
    x = 1,161.19

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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.