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Finding the Fourth Proportional to 1,581.93, 2,371.22 and 593.83

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Solution

The fourth proportional to 1,581.93, 2,371.22 and 593.83 is: 890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.93 : 2,371.22 = 593.83 : x
  2. Step 2: Convert to fraction form
    1,581.93/2,371.22 = 593.83/x
  3. Step 3: Cross multiply
    1,581.93x = 2,371.22 × 593.83
  4. Step 4: Simplify right side
    1,581.93x = 1,408,107.13
  5. Step 5: Solve for x
    x = 1,408,107.13/1,581.93
  6. Step 6: Final answer
    x = 890.12

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Double scale
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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.