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Finding the Fourth Proportional to 2,318.22, 3,478.44 and 932.51

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Solution

The fourth proportional to 2,318.22, 3,478.44 and 932.51 is: 1,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.22 : 3,478.44 = 932.51 : x
  2. Step 2: Convert to fraction form
    2,318.22/3,478.44 = 932.51/x
  3. Step 3: Cross multiply
    2,318.22x = 3,478.44 × 932.51
  4. Step 4: Simplify right side
    2,318.22x = 3,243,692.28
  5. Step 5: Solve for x
    x = 3,243,692.28/2,318.22
  6. Step 6: Final answer
    x = 1,399.22

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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.