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Finding the Fourth Proportional to 2,223.35, 3,068.17 and 1,228.63

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Solution

The fourth proportional to 2,223.35, 3,068.17 and 1,228.63 is: 1,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.35 : 3,068.17 = 1,228.63 : x
  2. Step 2: Convert to fraction form
    2,223.35/3,068.17 = 1,228.63/x
  3. Step 3: Cross multiply
    2,223.35x = 3,068.17 × 1,228.63
  4. Step 4: Simplify right side
    2,223.35x = 3,769,645.71
  5. Step 5: Solve for x
    x = 3,769,645.71/2,223.35
  6. Step 6: Final answer
    x = 1,695.48

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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.