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Finding the Fourth Proportional to 2,223.76, 3,068.74 and 1,215.43

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Solution

The fourth proportional to 2,223.76, 3,068.74 and 1,215.43 is: 1,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.76 : 3,068.74 = 1,215.43 : x
  2. Step 2: Convert to fraction form
    2,223.76/3,068.74 = 1,215.43/x
  3. Step 3: Cross multiply
    2,223.76x = 3,068.74 × 1,215.43
  4. Step 4: Simplify right side
    2,223.76x = 3,729,838.66
  5. Step 5: Solve for x
    x = 3,729,838.66/2,223.76
  6. Step 6: Final answer
    x = 1,677.27

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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.