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Finding the Fourth Proportional to 3,184.33, 4,775.58 and 992.47

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Solution

The fourth proportional to 3,184.33, 4,775.58 and 992.47 is: 1,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.33 : 4,775.58 = 992.47 : x
  2. Step 2: Convert to fraction form
    3,184.33/4,775.58 = 992.47/x
  3. Step 3: Cross multiply
    3,184.33x = 4,775.58 × 992.47
  4. Step 4: Simplify right side
    3,184.33x = 4,739,619.69
  5. Step 5: Solve for x
    x = 4,739,619.69/3,184.33
  6. Step 6: Final answer
    x = 1,488.42

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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.