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Finding the Fourth Proportional to 2,007.54, 3,012.27 and 1,239.54

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Solution

The fourth proportional to 2,007.54, 3,012.27 and 1,239.54 is: 1,859.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.54 : 3,012.27 = 1,239.54 : x
  2. Step 2: Convert to fraction form
    2,007.54/3,012.27 = 1,239.54/x
  3. Step 3: Cross multiply
    2,007.54x = 3,012.27 × 1,239.54
  4. Step 4: Simplify right side
    2,007.54x = 3,733,829.16
  5. Step 5: Solve for x
    x = 3,733,829.16/2,007.54
  6. Step 6: Final answer
    x = 1,859.90

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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.