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Finding the Fourth Proportional to 2,134.32, 2,920.02 and 2,125.09

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Solution

The fourth proportional to 2,134.32, 2,920.02 and 2,125.09 is: 2,907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.32 : 2,920.02 = 2,125.09 : x
  2. Step 2: Convert to fraction form
    2,134.32/2,920.02 = 2,125.09/x
  3. Step 3: Cross multiply
    2,134.32x = 2,920.02 × 2,125.09
  4. Step 4: Simplify right side
    2,134.32x = 6,205,305.30
  5. Step 5: Solve for x
    x = 6,205,305.30/2,134.32
  6. Step 6: Final answer
    x = 2,907.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.