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Finding the Fourth Proportional to 2,175.94, 3,002.72 and 1,181.19

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Solution

The fourth proportional to 2,175.94, 3,002.72 and 1,181.19 is: 1,630.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.94 : 3,002.72 = 1,181.19 : x
  2. Step 2: Convert to fraction form
    2,175.94/3,002.72 = 1,181.19/x
  3. Step 3: Cross multiply
    2,175.94x = 3,002.72 × 1,181.19
  4. Step 4: Simplify right side
    2,175.94x = 3,546,788.19
  5. Step 5: Solve for x
    x = 3,546,788.19/2,175.94
  6. Step 6: Final answer
    x = 1,630.00

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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.