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Finding the Fourth Proportional to 2,675.75, 3,692.72 and 1,497.20

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Solution

The fourth proportional to 2,675.75, 3,692.72 and 1,497.20 is: 2,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.75 : 3,692.72 = 1,497.20 : x
  2. Step 2: Convert to fraction form
    2,675.75/3,692.72 = 1,497.20/x
  3. Step 3: Cross multiply
    2,675.75x = 3,692.72 × 1,497.20
  4. Step 4: Simplify right side
    2,675.75x = 5,528,725.66
  5. Step 5: Solve for x
    x = 5,528,725.66/2,675.75
  6. Step 6: Final answer
    x = 2,066.24

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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.