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Finding the Fourth Proportional to 2,692.09, 3,715.05 and 1,644.15

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Solution

The fourth proportional to 2,692.09, 3,715.05 and 1,644.15 is: 2,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.09 : 3,715.05 = 1,644.15 : x
  2. Step 2: Convert to fraction form
    2,692.09/3,715.05 = 1,644.15/x
  3. Step 3: Cross multiply
    2,692.09x = 3,715.05 × 1,644.15
  4. Step 4: Simplify right side
    2,692.09x = 6,108,099.46
  5. Step 5: Solve for x
    x = 6,108,099.46/2,692.09
  6. Step 6: Final answer
    x = 2,268.91

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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.