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Finding the Fourth Proportional to 2,682.47, 3,692.85 and 2,307.93

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Solution

The fourth proportional to 2,682.47, 3,692.85 and 2,307.93 is: 3,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.47 : 3,692.85 = 2,307.93 : x
  2. Step 2: Convert to fraction form
    2,682.47/3,692.85 = 2,307.93/x
  3. Step 3: Cross multiply
    2,682.47x = 3,692.85 × 2,307.93
  4. Step 4: Simplify right side
    2,682.47x = 8,522,839.30
  5. Step 5: Solve for x
    x = 8,522,839.30/2,682.47
  6. Step 6: Final answer
    x = 3,177.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.