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Finding the Fourth Proportional to 2,125.22, 2,932.98 and 1,181.10

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Solution

The fourth proportional to 2,125.22, 2,932.98 and 1,181.10 is: 1,630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.22 : 2,932.98 = 1,181.10 : x
  2. Step 2: Convert to fraction form
    2,125.22/2,932.98 = 1,181.10/x
  3. Step 3: Cross multiply
    2,125.22x = 2,932.98 × 1,181.10
  4. Step 4: Simplify right side
    2,125.22x = 3,464,142.68
  5. Step 5: Solve for x
    x = 3,464,142.68/2,125.22
  6. Step 6: Final answer
    x = 1,630.02

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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.