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Finding the Fourth Proportional to 1,415.22, 2,122.85 and 389.22

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Solution

The fourth proportional to 1,415.22, 2,122.85 and 389.22 is: 583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.22 : 2,122.85 = 389.22 : x
  2. Step 2: Convert to fraction form
    1,415.22/2,122.85 = 389.22/x
  3. Step 3: Cross multiply
    1,415.22x = 2,122.85 × 389.22
  4. Step 4: Simplify right side
    1,415.22x = 826,255.68
  5. Step 5: Solve for x
    x = 826,255.68/1,415.22
  6. Step 6: Final answer
    x = 583.84

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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.