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Finding the Fourth Proportional to 1,662.38, 2,493.67 and 566.65

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Solution

The fourth proportional to 1,662.38, 2,493.67 and 566.65 is: 850.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.38 : 2,493.67 = 566.65 : x
  2. Step 2: Convert to fraction form
    1,662.38/2,493.67 = 566.65/x
  3. Step 3: Cross multiply
    1,662.38x = 2,493.67 × 566.65
  4. Step 4: Simplify right side
    1,662.38x = 1,413,038.11
  5. Step 5: Solve for x
    x = 1,413,038.11/1,662.38
  6. Step 6: Final answer
    x = 850.01

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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.