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Finding the Fourth Proportional to 1,572.62, 2,169.72 and 909.29

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Solution

The fourth proportional to 1,572.62, 2,169.72 and 909.29 is: 1,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.62 : 2,169.72 = 909.29 : x
  2. Step 2: Convert to fraction form
    1,572.62/2,169.72 = 909.29/x
  3. Step 3: Cross multiply
    1,572.62x = 2,169.72 × 909.29
  4. Step 4: Simplify right side
    1,572.62x = 1,972,910.12
  5. Step 5: Solve for x
    x = 1,972,910.12/1,572.62
  6. Step 6: Final answer
    x = 1,254.54

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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.