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Finding the Fourth Proportional to 1,773.99, 2,659.66 and 1,224.61

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Solution

The fourth proportional to 1,773.99, 2,659.66 and 1,224.61 is: 1,836.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.99 : 2,659.66 = 1,224.61 : x
  2. Step 2: Convert to fraction form
    1,773.99/2,659.66 = 1,224.61/x
  3. Step 3: Cross multiply
    1,773.99x = 2,659.66 × 1,224.61
  4. Step 4: Simplify right side
    1,773.99x = 3,257,046.23
  5. Step 5: Solve for x
    x = 3,257,046.23/1,773.99
  6. Step 6: Final answer
    x = 1,836.00

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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.