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Finding the Fourth Proportional to 2,025.26, 3,037.65 and 708.80

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Solution

The fourth proportional to 2,025.26, 3,037.65 and 708.80 is: 1,063.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.26 : 3,037.65 = 708.80 : x
  2. Step 2: Convert to fraction form
    2,025.26/3,037.65 = 708.80/x
  3. Step 3: Cross multiply
    2,025.26x = 3,037.65 × 708.80
  4. Step 4: Simplify right side
    2,025.26x = 2,153,086.32
  5. Step 5: Solve for x
    x = 2,153,086.32/2,025.26
  6. Step 6: Final answer
    x = 1,063.12

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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.