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Finding the Fourth Proportional to 2,039.70, 2,814.72 and 1,200.21

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Solution

The fourth proportional to 2,039.70, 2,814.72 and 1,200.21 is: 1,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.70 : 2,814.72 = 1,200.21 : x
  2. Step 2: Convert to fraction form
    2,039.70/2,814.72 = 1,200.21/x
  3. Step 3: Cross multiply
    2,039.70x = 2,814.72 × 1,200.21
  4. Step 4: Simplify right side
    2,039.70x = 3,378,240.04
  5. Step 5: Solve for x
    x = 3,378,240.04/2,039.70
  6. Step 6: Final answer
    x = 1,656.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.