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Finding the Fourth Proportional to 2,284.88, 3,425.80 and 823.84

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Solution

The fourth proportional to 2,284.88, 3,425.80 and 823.84 is: 1,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.88 : 3,425.80 = 823.84 : x
  2. Step 2: Convert to fraction form
    2,284.88/3,425.80 = 823.84/x
  3. Step 3: Cross multiply
    2,284.88x = 3,425.80 × 823.84
  4. Step 4: Simplify right side
    2,284.88x = 2,822,313.29
  5. Step 5: Solve for x
    x = 2,822,313.29/2,284.88
  6. Step 6: Final answer
    x = 1,235.21

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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.