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Finding the Fourth Proportional to 2,284.34, 3,425.19 and 896.06

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Solution

The fourth proportional to 2,284.34, 3,425.19 and 896.06 is: 1,343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.34 : 3,425.19 = 896.06 : x
  2. Step 2: Convert to fraction form
    2,284.34/3,425.19 = 896.06/x
  3. Step 3: Cross multiply
    2,284.34x = 3,425.19 × 896.06
  4. Step 4: Simplify right side
    2,284.34x = 3,069,180.95
  5. Step 5: Solve for x
    x = 3,069,180.95/2,284.34
  6. Step 6: Final answer
    x = 1,343.58

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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.