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Finding the Fourth Proportional to 2,107.68, 3,137.30 and 2,076.50

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Solution

The fourth proportional to 2,107.68, 3,137.30 and 2,076.50 is: 3,090.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.68 : 3,137.30 = 2,076.50 : x
  2. Step 2: Convert to fraction form
    2,107.68/3,137.30 = 2,076.50/x
  3. Step 3: Cross multiply
    2,107.68x = 3,137.30 × 2,076.50
  4. Step 4: Simplify right side
    2,107.68x = 6,514,577.38
  5. Step 5: Solve for x
    x = 6,514,577.38/2,107.68
  6. Step 6: Final answer
    x = 3,090.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.