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Finding the Fourth Proportional to 2,692.10, 3,715.04 and 1,497.11

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Solution

The fourth proportional to 2,692.10, 3,715.04 and 1,497.11 is: 2,065.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.10 : 3,715.04 = 1,497.11 : x
  2. Step 2: Convert to fraction form
    2,692.10/3,715.04 = 1,497.11/x
  3. Step 3: Cross multiply
    2,692.10x = 3,715.04 × 1,497.11
  4. Step 4: Simplify right side
    2,692.10x = 5,561,797.47
  5. Step 5: Solve for x
    x = 5,561,797.47/2,692.10
  6. Step 6: Final answer
    x = 2,065.97

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1.5x scale

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.