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Finding the Fourth Proportional to 1,662.80, 2,492.67 and 566.90

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Solution

The fourth proportional to 1,662.80, 2,492.67 and 566.90 is: 849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.80 : 2,492.67 = 566.90 : x
  2. Step 2: Convert to fraction form
    1,662.80/2,492.67 = 566.90/x
  3. Step 3: Cross multiply
    1,662.80x = 2,492.67 × 566.90
  4. Step 4: Simplify right side
    1,662.80x = 1,413,094.62
  5. Step 5: Solve for x
    x = 1,413,094.62/1,662.80
  6. Step 6: Final answer
    x = 849.83

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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.