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Finding the Fourth Proportional to 2,223.47, 3,068.39 and 1,228.74

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Solution

The fourth proportional to 2,223.47, 3,068.39 and 1,228.74 is: 1,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.47 : 3,068.39 = 1,228.74 : x
  2. Step 2: Convert to fraction form
    2,223.47/3,068.39 = 1,228.74/x
  3. Step 3: Cross multiply
    2,223.47x = 3,068.39 × 1,228.74
  4. Step 4: Simplify right side
    2,223.47x = 3,770,247.38
  5. Step 5: Solve for x
    x = 3,770,247.38/2,223.47
  6. Step 6: Final answer
    x = 1,695.66

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Why These Related Problems?

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