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Finding the Fourth Proportional to 2,842.92, 4,264.50 and 895.14

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Solution

The fourth proportional to 2,842.92, 4,264.50 and 895.14 is: 1,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.92 : 4,264.50 = 895.14 : x
  2. Step 2: Convert to fraction form
    2,842.92/4,264.50 = 895.14/x
  3. Step 3: Cross multiply
    2,842.92x = 4,264.50 × 895.14
  4. Step 4: Simplify right side
    2,842.92x = 3,817,324.53
  5. Step 5: Solve for x
    x = 3,817,324.53/2,842.92
  6. Step 6: Final answer
    x = 1,342.75

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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.