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Finding the Fourth Proportional to 2,282.94, 3,422.91 and 895.41

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Solution

The fourth proportional to 2,282.94, 3,422.91 and 895.41 is: 1,342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.94 : 3,422.91 = 895.41 : x
  2. Step 2: Convert to fraction form
    2,282.94/3,422.91 = 895.41/x
  3. Step 3: Cross multiply
    2,282.94x = 3,422.91 × 895.41
  4. Step 4: Simplify right side
    2,282.94x = 3,064,907.84
  5. Step 5: Solve for x
    x = 3,064,907.84/2,282.94
  6. Step 6: Final answer
    x = 1,342.53

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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.