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Finding the Fourth Proportional to 1,593.60, 2,392.20 and 944.70

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Solution

The fourth proportional to 1,593.60, 2,392.20 and 944.70 is: 1,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.60 : 2,392.20 = 944.70 : x
  2. Step 2: Convert to fraction form
    1,593.60/2,392.20 = 944.70/x
  3. Step 3: Cross multiply
    1,593.60x = 2,392.20 × 944.70
  4. Step 4: Simplify right side
    1,593.60x = 2,259,911.34
  5. Step 5: Solve for x
    x = 2,259,911.34/1,593.60
  6. Step 6: Final answer
    x = 1,418.12

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