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Finding the Fourth Proportional to 2,281.84, 3,422.75 and 550.46

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Solution

The fourth proportional to 2,281.84, 3,422.75 and 550.46 is: 825.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.84 : 3,422.75 = 550.46 : x
  2. Step 2: Convert to fraction form
    2,281.84/3,422.75 = 550.46/x
  3. Step 3: Cross multiply
    2,281.84x = 3,422.75 × 550.46
  4. Step 4: Simplify right side
    2,281.84x = 1,884,084.21
  5. Step 5: Solve for x
    x = 1,884,084.21/2,281.84
  6. Step 6: Final answer
    x = 825.69

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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.