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Finding the Fourth Proportional to 2,464.67, 3,692.14 and 1,849.07

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Solution

The fourth proportional to 2,464.67, 3,692.14 and 1,849.07 is: 2,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.67 : 3,692.14 = 1,849.07 : x
  2. Step 2: Convert to fraction form
    2,464.67/3,692.14 = 1,849.07/x
  3. Step 3: Cross multiply
    2,464.67x = 3,692.14 × 1,849.07
  4. Step 4: Simplify right side
    2,464.67x = 6,827,025.31
  5. Step 5: Solve for x
    x = 6,827,025.31/2,464.67
  6. Step 6: Final answer
    x = 2,769.96

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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.