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Finding the Fourth Proportional to 1,814.82, 2,722.23 and 498.59

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Solution

The fourth proportional to 1,814.82, 2,722.23 and 498.59 is: 747.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.82 : 2,722.23 = 498.59 : x
  2. Step 2: Convert to fraction form
    1,814.82/2,722.23 = 498.59/x
  3. Step 3: Cross multiply
    1,814.82x = 2,722.23 × 498.59
  4. Step 4: Simplify right side
    1,814.82x = 1,357,275.12
  5. Step 5: Solve for x
    x = 1,357,275.12/1,814.82
  6. Step 6: Final answer
    x = 747.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.