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Finding the Fourth Proportional to 2,024.30, 3,039.15 and 1,295.30

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Solution

The fourth proportional to 2,024.30, 3,039.15 and 1,295.30 is: 1,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.30 : 3,039.15 = 1,295.30 : x
  2. Step 2: Convert to fraction form
    2,024.30/3,039.15 = 1,295.30/x
  3. Step 3: Cross multiply
    2,024.30x = 3,039.15 × 1,295.30
  4. Step 4: Simplify right side
    2,024.30x = 3,936,611.00
  5. Step 5: Solve for x
    x = 3,936,611.00/2,024.30
  6. Step 6: Final answer
    x = 1,944.68

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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.