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Finding the Fourth Proportional to 2,284.38, 3,425.67 and 897.48

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Solution

The fourth proportional to 2,284.38, 3,425.67 and 897.48 is: 1,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.38 : 3,425.67 = 897.48 : x
  2. Step 2: Convert to fraction form
    2,284.38/3,425.67 = 897.48/x
  3. Step 3: Cross multiply
    2,284.38x = 3,425.67 × 897.48
  4. Step 4: Simplify right side
    2,284.38x = 3,074,470.31
  5. Step 5: Solve for x
    x = 3,074,470.31/2,284.38
  6. Step 6: Final answer
    x = 1,345.87

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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.