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Finding the Fourth Proportional to 1,581.31, 2,371.97 and 594.09

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Solution

The fourth proportional to 1,581.31, 2,371.97 and 594.09 is: 891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.31 : 2,371.97 = 594.09 : x
  2. Step 2: Convert to fraction form
    1,581.31/2,371.97 = 594.09/x
  3. Step 3: Cross multiply
    1,581.31x = 2,371.97 × 594.09
  4. Step 4: Simplify right side
    1,581.31x = 1,409,163.66
  5. Step 5: Solve for x
    x = 1,409,163.66/1,581.31
  6. Step 6: Final answer
    x = 891.14

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.