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Finding the Fourth Proportional to 2,284.44, 3,426.67 and 553.07

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Solution

The fourth proportional to 2,284.44, 3,426.67 and 553.07 is: 829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.44 : 3,426.67 = 553.07 : x
  2. Step 2: Convert to fraction form
    2,284.44/3,426.67 = 553.07/x
  3. Step 3: Cross multiply
    2,284.44x = 3,426.67 × 553.07
  4. Step 4: Simplify right side
    2,284.44x = 1,895,171.24
  5. Step 5: Solve for x
    x = 1,895,171.24/2,284.44
  6. Step 6: Final answer
    x = 829.60

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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.