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Finding the Fourth Proportional to 1,572.82, 2,170.46 and 909.66

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Solution

The fourth proportional to 1,572.82, 2,170.46 and 909.66 is: 1,255.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.82 : 2,170.46 = 909.66 : x
  2. Step 2: Convert to fraction form
    1,572.82/2,170.46 = 909.66/x
  3. Step 3: Cross multiply
    1,572.82x = 2,170.46 × 909.66
  4. Step 4: Simplify right side
    1,572.82x = 1,974,380.64
  5. Step 5: Solve for x
    x = 1,974,380.64/1,572.82
  6. Step 6: Final answer
    x = 1,255.31

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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.