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Finding the Fourth Proportional to 2,223.37, 3,068.09 and 1,228.68

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Solution

The fourth proportional to 2,223.37, 3,068.09 and 1,228.68 is: 1,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.37 : 3,068.09 = 1,228.68 : x
  2. Step 2: Convert to fraction form
    2,223.37/3,068.09 = 1,228.68/x
  3. Step 3: Cross multiply
    2,223.37x = 3,068.09 × 1,228.68
  4. Step 4: Simplify right side
    2,223.37x = 3,769,699.29
  5. Step 5: Solve for x
    x = 3,769,699.29/2,223.37
  6. Step 6: Final answer
    x = 1,695.49

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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.