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Finding the Fourth Proportional to 2,675.92, 3,692.78 and 1,497.01

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Solution

The fourth proportional to 2,675.92, 3,692.78 and 1,497.01 is: 2,065.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.92 : 3,692.78 = 1,497.01 : x
  2. Step 2: Convert to fraction form
    2,675.92/3,692.78 = 1,497.01/x
  3. Step 3: Cross multiply
    2,675.92x = 3,692.78 × 1,497.01
  4. Step 4: Simplify right side
    2,675.92x = 5,528,128.59
  5. Step 5: Solve for x
    x = 5,528,128.59/2,675.92
  6. Step 6: Final answer
    x = 2,065.88

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Why These Related Problems?

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