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Finding the Fourth Proportional to 2,062.19, 2,845.83 and 1,223.31

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Solution

The fourth proportional to 2,062.19, 2,845.83 and 1,223.31 is: 1,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.19 : 2,845.83 = 1,223.31 : x
  2. Step 2: Convert to fraction form
    2,062.19/2,845.83 = 1,223.31/x
  3. Step 3: Cross multiply
    2,062.19x = 2,845.83 × 1,223.31
  4. Step 4: Simplify right side
    2,062.19x = 3,481,332.30
  5. Step 5: Solve for x
    x = 3,481,332.30/2,062.19
  6. Step 6: Final answer
    x = 1,688.17

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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.