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Finding the Fourth Proportional to 1,581.93, 2,372.44 and 594.44

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Solution

The fourth proportional to 1,581.93, 2,372.44 and 594.44 is: 891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.93 : 2,372.44 = 594.44 : x
  2. Step 2: Convert to fraction form
    1,581.93/2,372.44 = 594.44/x
  3. Step 3: Cross multiply
    1,581.93x = 2,372.44 × 594.44
  4. Step 4: Simplify right side
    1,581.93x = 1,410,269.90
  5. Step 5: Solve for x
    x = 1,410,269.90/1,581.93
  6. Step 6: Final answer
    x = 891.49

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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.