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Finding the Fourth Proportional to 2,675.92, 3,692.76 and 1,497

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Solution

The fourth proportional to 2,675.92, 3,692.76 and 1,497 is: 2,065.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.92 : 3,692.76 = 1,497 : x
  2. Step 2: Convert to fraction form
    2,675.92/3,692.76 = 1,497/x
  3. Step 3: Cross multiply
    2,675.92x = 3,692.76 × 1,497
  4. Step 4: Simplify right side
    2,675.92x = 5,528,061.72
  5. Step 5: Solve for x
    x = 5,528,061.72/2,675.92
  6. Step 6: Final answer
    x = 2,065.85

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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.