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Finding the Fourth Proportional to 1,666.91, 2,497.64 and 1,049.09

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Solution

The fourth proportional to 1,666.91, 2,497.64 and 1,049.09 is: 1,571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.91 : 2,497.64 = 1,049.09 : x
  2. Step 2: Convert to fraction form
    1,666.91/2,497.64 = 1,049.09/x
  3. Step 3: Cross multiply
    1,666.91x = 2,497.64 × 1,049.09
  4. Step 4: Simplify right side
    1,666.91x = 2,620,231.41
  5. Step 5: Solve for x
    x = 2,620,231.41/1,666.91
  6. Step 6: Final answer
    x = 1,571.91

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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.