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Finding the Fourth Proportional to 1,455.18, 2,181.42 and 481.07

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Solution

The fourth proportional to 1,455.18, 2,181.42 and 481.07 is: 721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.18 : 2,181.42 = 481.07 : x
  2. Step 2: Convert to fraction form
    1,455.18/2,181.42 = 481.07/x
  3. Step 3: Cross multiply
    1,455.18x = 2,181.42 × 481.07
  4. Step 4: Simplify right side
    1,455.18x = 1,049,404.81
  5. Step 5: Solve for x
    x = 1,049,404.81/1,455.18
  6. Step 6: Final answer
    x = 721.15

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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.