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Finding the Fourth Proportional to 1,661.91, 2,493.08 and 565.98

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Solution

The fourth proportional to 1,661.91, 2,493.08 and 565.98 is: 849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.91 : 2,493.08 = 565.98 : x
  2. Step 2: Convert to fraction form
    1,661.91/2,493.08 = 565.98/x
  3. Step 3: Cross multiply
    1,661.91x = 2,493.08 × 565.98
  4. Step 4: Simplify right side
    1,661.91x = 1,411,033.42
  5. Step 5: Solve for x
    x = 1,411,033.42/1,661.91
  6. Step 6: Final answer
    x = 849.04

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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.