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Finding the Fourth Proportional to 2,671.94, 3,692.34 and 2,007.66

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Solution

The fourth proportional to 2,671.94, 3,692.34 and 2,007.66 is: 2,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.94 : 3,692.34 = 2,007.66 : x
  2. Step 2: Convert to fraction form
    2,671.94/3,692.34 = 2,007.66/x
  3. Step 3: Cross multiply
    2,671.94x = 3,692.34 × 2,007.66
  4. Step 4: Simplify right side
    2,671.94x = 7,412,963.32
  5. Step 5: Solve for x
    x = 7,412,963.32/2,671.94
  6. Step 6: Final answer
    x = 2,774.37

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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.