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Finding the Fourth Proportional to 3,184.83, 4,776.43 and 992.43

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Solution

The fourth proportional to 3,184.83, 4,776.43 and 992.43 is: 1,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.83 : 4,776.43 = 992.43 : x
  2. Step 2: Convert to fraction form
    3,184.83/4,776.43 = 992.43/x
  3. Step 3: Cross multiply
    3,184.83x = 4,776.43 × 992.43
  4. Step 4: Simplify right side
    3,184.83x = 4,740,272.42
  5. Step 5: Solve for x
    x = 4,740,272.42/3,184.83
  6. Step 6: Final answer
    x = 1,488.39

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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.