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Finding the Fourth Proportional to 3,397.44, 4,688 and 1,905.44

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Solution

The fourth proportional to 3,397.44, 4,688 and 1,905.44 is: 2,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.44 : 4,688 = 1,905.44 : x
  2. Step 2: Convert to fraction form
    3,397.44/4,688 = 1,905.44/x
  3. Step 3: Cross multiply
    3,397.44x = 4,688 × 1,905.44
  4. Step 4: Simplify right side
    3,397.44x = 8,932,702.72
  5. Step 5: Solve for x
    x = 8,932,702.72/3,397.44
  6. Step 6: Final answer
    x = 2,629.25

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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.