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Finding the Fourth Proportional to 2,284.12, 3,425.64 and 896.98

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Solution

The fourth proportional to 2,284.12, 3,425.64 and 896.98 is: 1,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.12 : 3,425.64 = 896.98 : x
  2. Step 2: Convert to fraction form
    2,284.12/3,425.64 = 896.98/x
  3. Step 3: Cross multiply
    2,284.12x = 3,425.64 × 896.98
  4. Step 4: Simplify right side
    2,284.12x = 3,072,730.57
  5. Step 5: Solve for x
    x = 3,072,730.57/2,284.12
  6. Step 6: Final answer
    x = 1,345.26

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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.