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Finding the Fourth Proportional to 1,644.75, 2,269.80 and 946.17

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Solution

The fourth proportional to 1,644.75, 2,269.80 and 946.17 is: 1,305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.75 : 2,269.80 = 946.17 : x
  2. Step 2: Convert to fraction form
    1,644.75/2,269.80 = 946.17/x
  3. Step 3: Cross multiply
    1,644.75x = 2,269.80 × 946.17
  4. Step 4: Simplify right side
    1,644.75x = 2,147,616.67
  5. Step 5: Solve for x
    x = 2,147,616.67/1,644.75
  6. Step 6: Final answer
    x = 1,305.74

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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.