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Finding the Fourth Proportional to 3,181.54, 4,392.24 and 2,134.18

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Solution

The fourth proportional to 3,181.54, 4,392.24 and 2,134.18 is: 2,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.54 : 4,392.24 = 2,134.18 : x
  2. Step 2: Convert to fraction form
    3,181.54/4,392.24 = 2,134.18/x
  3. Step 3: Cross multiply
    3,181.54x = 4,392.24 × 2,134.18
  4. Step 4: Simplify right side
    3,181.54x = 9,373,830.76
  5. Step 5: Solve for x
    x = 9,373,830.76/3,181.54
  6. Step 6: Final answer
    x = 2,946.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.