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Finding the Fourth Proportional to 1,814.13, 2,722.05 and 718.20

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Solution

The fourth proportional to 1,814.13, 2,722.05 and 718.20 is: 1,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.13 : 2,722.05 = 718.20 : x
  2. Step 2: Convert to fraction form
    1,814.13/2,722.05 = 718.20/x
  3. Step 3: Cross multiply
    1,814.13x = 2,722.05 × 718.20
  4. Step 4: Simplify right side
    1,814.13x = 1,954,976.31
  5. Step 5: Solve for x
    x = 1,954,976.31/1,814.13
  6. Step 6: Final answer
    x = 1,077.64

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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.