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Finding the Fourth Proportional to 1,758.30, 2,425.32 and 1,059

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Solution

The fourth proportional to 1,758.30, 2,425.32 and 1,059 is: 1,460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.30 : 2,425.32 = 1,059 : x
  2. Step 2: Convert to fraction form
    1,758.30/2,425.32 = 1,059/x
  3. Step 3: Cross multiply
    1,758.30x = 2,425.32 × 1,059
  4. Step 4: Simplify right side
    1,758.30x = 2,568,413.88
  5. Step 5: Solve for x
    x = 2,568,413.88/1,758.30
  6. Step 6: Final answer
    x = 1,460.74

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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.