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Finding the Fourth Proportional to 2,987.53, 4,481.17 and 1,428.64

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Solution

The fourth proportional to 2,987.53, 4,481.17 and 1,428.64 is: 2,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.53 : 4,481.17 = 1,428.64 : x
  2. Step 2: Convert to fraction form
    2,987.53/4,481.17 = 1,428.64/x
  3. Step 3: Cross multiply
    2,987.53x = 4,481.17 × 1,428.64
  4. Step 4: Simplify right side
    2,987.53x = 6,401,971.97
  5. Step 5: Solve for x
    x = 6,401,971.97/2,987.53
  6. Step 6: Final answer
    x = 2,142.90

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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.