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Finding the Fourth Proportional to 2,458.92, 3,692.07 and 2,115.99

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Solution

The fourth proportional to 2,458.92, 3,692.07 and 2,115.99 is: 3,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.92 : 3,692.07 = 2,115.99 : x
  2. Step 2: Convert to fraction form
    2,458.92/3,692.07 = 2,115.99/x
  3. Step 3: Cross multiply
    2,458.92x = 3,692.07 × 2,115.99
  4. Step 4: Simplify right side
    2,458.92x = 7,812,383.20
  5. Step 5: Solve for x
    x = 7,812,383.20/2,458.92
  6. Step 6: Final answer
    x = 3,177.16

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Why These Related Problems?

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