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Finding the Fourth Proportional to 1,382.67, 1,907.25 and 1,050.98

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Solution

The fourth proportional to 1,382.67, 1,907.25 and 1,050.98 is: 1,449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.67 : 1,907.25 = 1,050.98 : x
  2. Step 2: Convert to fraction form
    1,382.67/1,907.25 = 1,050.98/x
  3. Step 3: Cross multiply
    1,382.67x = 1,907.25 × 1,050.98
  4. Step 4: Simplify right side
    1,382.67x = 2,004,468.13
  5. Step 5: Solve for x
    x = 2,004,468.13/1,382.67
  6. Step 6: Final answer
    x = 1,449.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.