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Finding the Fourth Proportional to 1,592.31, 2,197.24 and 920.19

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Solution

The fourth proportional to 1,592.31, 2,197.24 and 920.19 is: 1,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.31 : 2,197.24 = 920.19 : x
  2. Step 2: Convert to fraction form
    1,592.31/2,197.24 = 920.19/x
  3. Step 3: Cross multiply
    1,592.31x = 2,197.24 × 920.19
  4. Step 4: Simplify right side
    1,592.31x = 2,021,878.28
  5. Step 5: Solve for x
    x = 2,021,878.28/1,592.31
  6. Step 6: Final answer
    x = 1,269.78

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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.