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Finding the Fourth Proportional to 2,181.42, 3,272.74 and 948.53

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Solution

The fourth proportional to 2,181.42, 3,272.74 and 948.53 is: 1,423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.42 : 3,272.74 = 948.53 : x
  2. Step 2: Convert to fraction form
    2,181.42/3,272.74 = 948.53/x
  3. Step 3: Cross multiply
    2,181.42x = 3,272.74 × 948.53
  4. Step 4: Simplify right side
    2,181.42x = 3,104,297.88
  5. Step 5: Solve for x
    x = 3,104,297.88/2,181.42
  6. Step 6: Final answer
    x = 1,423.06

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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.