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Finding the Fourth Proportional to 1,571.76, 2,170.44 and 982.44

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Solution

The fourth proportional to 1,571.76, 2,170.44 and 982.44 is: 1,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.76 : 2,170.44 = 982.44 : x
  2. Step 2: Convert to fraction form
    1,571.76/2,170.44 = 982.44/x
  3. Step 3: Cross multiply
    1,571.76x = 2,170.44 × 982.44
  4. Step 4: Simplify right side
    1,571.76x = 2,132,327.07
  5. Step 5: Solve for x
    x = 2,132,327.07/1,571.76
  6. Step 6: Final answer
    x = 1,356.65

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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.