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Finding the Fourth Proportional to 2,137, 2,946.39 and 1,783.43

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Solution

The fourth proportional to 2,137, 2,946.39 and 1,783.43 is: 2,458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137 : 2,946.39 = 1,783.43 : x
  2. Step 2: Convert to fraction form
    2,137/2,946.39 = 1,783.43/x
  3. Step 3: Cross multiply
    2,137x = 2,946.39 × 1,783.43
  4. Step 4: Simplify right side
    2,137x = 5,254,680.32
  5. Step 5: Solve for x
    x = 5,254,680.32/2,137
  6. Step 6: Final answer
    x = 2,458.91

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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.