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Finding the Fourth Proportional to 1,593.13, 2,388.78 and 944.32

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Solution

The fourth proportional to 1,593.13, 2,388.78 and 944.32 is: 1,415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.13 : 2,388.78 = 944.32 : x
  2. Step 2: Convert to fraction form
    1,593.13/2,388.78 = 944.32/x
  3. Step 3: Cross multiply
    1,593.13x = 2,388.78 × 944.32
  4. Step 4: Simplify right side
    1,593.13x = 2,255,766.76
  5. Step 5: Solve for x
    x = 2,255,766.76/1,593.13
  6. Step 6: Final answer
    x = 1,415.94

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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.