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Finding the Fourth Proportional to 1,811.23, 2,716.88 and 579.69

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Solution

The fourth proportional to 1,811.23, 2,716.88 and 579.69 is: 869.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.23 : 2,716.88 = 579.69 : x
  2. Step 2: Convert to fraction form
    1,811.23/2,716.88 = 579.69/x
  3. Step 3: Cross multiply
    1,811.23x = 2,716.88 × 579.69
  4. Step 4: Simplify right side
    1,811.23x = 1,574,945.27
  5. Step 5: Solve for x
    x = 1,574,945.27/1,811.23
  6. Step 6: Final answer
    x = 869.55

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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.