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Finding the Fourth Proportional to 2,176.64, 3,003.74 and 1,181.90

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Solution

The fourth proportional to 2,176.64, 3,003.74 and 1,181.90 is: 1,631.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.64 : 3,003.74 = 1,181.90 : x
  2. Step 2: Convert to fraction form
    2,176.64/3,003.74 = 1,181.90/x
  3. Step 3: Cross multiply
    2,176.64x = 3,003.74 × 1,181.90
  4. Step 4: Simplify right side
    2,176.64x = 3,550,120.31
  5. Step 5: Solve for x
    x = 3,550,120.31/2,176.64
  6. Step 6: Final answer
    x = 1,631.01

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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.