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Finding the Fourth Proportional to 2,167.49, 2,992.48 and 1,571.96

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Solution

The fourth proportional to 2,167.49, 2,992.48 and 1,571.96 is: 2,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.49 : 2,992.48 = 1,571.96 : x
  2. Step 2: Convert to fraction form
    2,167.49/2,992.48 = 1,571.96/x
  3. Step 3: Cross multiply
    2,167.49x = 2,992.48 × 1,571.96
  4. Step 4: Simplify right side
    2,167.49x = 4,704,062.41
  5. Step 5: Solve for x
    x = 4,704,062.41/2,167.49
  6. Step 6: Final answer
    x = 2,170.28

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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.