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Finding the Fourth Proportional to 2,284.83, 3,424.97 and 897.15

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Solution

The fourth proportional to 2,284.83, 3,424.97 and 897.15 is: 1,344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.83 : 3,424.97 = 897.15 : x
  2. Step 2: Convert to fraction form
    2,284.83/3,424.97 = 897.15/x
  3. Step 3: Cross multiply
    2,284.83x = 3,424.97 × 897.15
  4. Step 4: Simplify right side
    2,284.83x = 3,072,707.35
  5. Step 5: Solve for x
    x = 3,072,707.35/2,284.83
  6. Step 6: Final answer
    x = 1,344.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.