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Finding the Fourth Proportional to 3,024.91, 4,536.96 and 1,049.73

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Solution

The fourth proportional to 3,024.91, 4,536.96 and 1,049.73 is: 1,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.91 : 4,536.96 = 1,049.73 : x
  2. Step 2: Convert to fraction form
    3,024.91/4,536.96 = 1,049.73/x
  3. Step 3: Cross multiply
    3,024.91x = 4,536.96 × 1,049.73
  4. Step 4: Simplify right side
    3,024.91x = 4,762,583.02
  5. Step 5: Solve for x
    x = 4,762,583.02/3,024.91
  6. Step 6: Final answer
    x = 1,574.45

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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.