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Finding the Fourth Proportional to 1,608.38, 2,219.62 and 909.74

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Solution

The fourth proportional to 1,608.38, 2,219.62 and 909.74 is: 1,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.38 : 2,219.62 = 909.74 : x
  2. Step 2: Convert to fraction form
    1,608.38/2,219.62 = 909.74/x
  3. Step 3: Cross multiply
    1,608.38x = 2,219.62 × 909.74
  4. Step 4: Simplify right side
    1,608.38x = 2,019,263.73
  5. Step 5: Solve for x
    x = 2,019,263.73/1,608.38
  6. Step 6: Final answer
    x = 1,255.47

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Half scale
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Double scale
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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.