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Finding the Fourth Proportional to 1,571.37, 2,167.56 and 980.88

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Solution

The fourth proportional to 1,571.37, 2,167.56 and 980.88 is: 1,353.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.37 : 2,167.56 = 980.88 : x
  2. Step 2: Convert to fraction form
    1,571.37/2,167.56 = 980.88/x
  3. Step 3: Cross multiply
    1,571.37x = 2,167.56 × 980.88
  4. Step 4: Simplify right side
    1,571.37x = 2,126,108.12
  5. Step 5: Solve for x
    x = 2,126,108.12/1,571.37
  6. Step 6: Final answer
    x = 1,353.03

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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.