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Finding the Fourth Proportional to 1,665.09, 2,497.77 and 691.83

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Solution

The fourth proportional to 1,665.09, 2,497.77 and 691.83 is: 1,037.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.09 : 2,497.77 = 691.83 : x
  2. Step 2: Convert to fraction form
    1,665.09/2,497.77 = 691.83/x
  3. Step 3: Cross multiply
    1,665.09x = 2,497.77 × 691.83
  4. Step 4: Simplify right side
    1,665.09x = 1,728,032.22
  5. Step 5: Solve for x
    x = 1,728,032.22/1,665.09
  6. Step 6: Final answer
    x = 1,037.80

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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.