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Finding the Fourth Proportional to 1,571.34, 2,170.23 and 982.38

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Solution

The fourth proportional to 1,571.34, 2,170.23 and 982.38 is: 1,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.34 : 2,170.23 = 982.38 : x
  2. Step 2: Convert to fraction form
    1,571.34/2,170.23 = 982.38/x
  3. Step 3: Cross multiply
    1,571.34x = 2,170.23 × 982.38
  4. Step 4: Simplify right side
    1,571.34x = 2,131,990.55
  5. Step 5: Solve for x
    x = 2,131,990.55/1,571.34
  6. Step 6: Final answer
    x = 1,356.80

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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.