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Finding the Fourth Proportional to 1,299.38, 1,950.62 and 1,025.68

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Solution

The fourth proportional to 1,299.38, 1,950.62 and 1,025.68 is: 1,539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.38 : 1,950.62 = 1,025.68 : x
  2. Step 2: Convert to fraction form
    1,299.38/1,950.62 = 1,025.68/x
  3. Step 3: Cross multiply
    1,299.38x = 1,950.62 × 1,025.68
  4. Step 4: Simplify right side
    1,299.38x = 2,000,711.92
  5. Step 5: Solve for x
    x = 2,000,711.92/1,299.38
  6. Step 6: Final answer
    x = 1,539.74

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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.