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Finding the Fourth Proportional to 2,507.97, 3,758.45 and 2,135.84

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Solution

The fourth proportional to 2,507.97, 3,758.45 and 2,135.84 is: 3,200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.97 : 3,758.45 = 2,135.84 : x
  2. Step 2: Convert to fraction form
    2,507.97/3,758.45 = 2,135.84/x
  3. Step 3: Cross multiply
    2,507.97x = 3,758.45 × 2,135.84
  4. Step 4: Simplify right side
    2,507.97x = 8,027,438.32
  5. Step 5: Solve for x
    x = 8,027,438.32/2,507.97
  6. Step 6: Final answer
    x = 3,200.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.