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Finding the Fourth Proportional to 2,842.75, 4,264.13 and 895

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Solution

The fourth proportional to 2,842.75, 4,264.13 and 895 is: 1,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.75 : 4,264.13 = 895 : x
  2. Step 2: Convert to fraction form
    2,842.75/4,264.13 = 895/x
  3. Step 3: Cross multiply
    2,842.75x = 4,264.13 × 895
  4. Step 4: Simplify right side
    2,842.75x = 3,816,396.35
  5. Step 5: Solve for x
    x = 3,816,396.35/2,842.75
  6. Step 6: Final answer
    x = 1,342.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.