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Finding the Fourth Proportional to 3,024.72, 4,536.14 and 1,076.54

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Solution

The fourth proportional to 3,024.72, 4,536.14 and 1,076.54 is: 1,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.72 : 4,536.14 = 1,076.54 : x
  2. Step 2: Convert to fraction form
    3,024.72/4,536.14 = 1,076.54/x
  3. Step 3: Cross multiply
    3,024.72x = 4,536.14 × 1,076.54
  4. Step 4: Simplify right side
    3,024.72x = 4,883,308.09
  5. Step 5: Solve for x
    x = 4,883,308.09/3,024.72
  6. Step 6: Final answer
    x = 1,614.47

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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.