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Finding the Fourth Proportional to 2,692.85, 4,032.39 and 2,443.17

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Solution

The fourth proportional to 2,692.85, 4,032.39 and 2,443.17 is: 3,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.85 : 4,032.39 = 2,443.17 : x
  2. Step 2: Convert to fraction form
    2,692.85/4,032.39 = 2,443.17/x
  3. Step 3: Cross multiply
    2,692.85x = 4,032.39 × 2,443.17
  4. Step 4: Simplify right side
    2,692.85x = 9,851,814.28
  5. Step 5: Solve for x
    x = 9,851,814.28/2,692.85
  6. Step 6: Final answer
    x = 3,658.50

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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.