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Finding the Fourth Proportional to 2,676.15, 3,692.49 and 1,681.07

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Solution

The fourth proportional to 2,676.15, 3,692.49 and 1,681.07 is: 2,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.15 : 3,692.49 = 1,681.07 : x
  2. Step 2: Convert to fraction form
    2,676.15/3,692.49 = 1,681.07/x
  3. Step 3: Cross multiply
    2,676.15x = 3,692.49 × 1,681.07
  4. Step 4: Simplify right side
    2,676.15x = 6,207,318.85
  5. Step 5: Solve for x
    x = 6,207,318.85/2,676.15
  6. Step 6: Final answer
    x = 2,319.50

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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.