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Finding the Fourth Proportional to 2,886.16, 4,329.88 and 834

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Solution

The fourth proportional to 2,886.16, 4,329.88 and 834 is: 1,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.16 : 4,329.88 = 834 : x
  2. Step 2: Convert to fraction form
    2,886.16/4,329.88 = 834/x
  3. Step 3: Cross multiply
    2,886.16x = 4,329.88 × 834
  4. Step 4: Simplify right side
    2,886.16x = 3,611,119.92
  5. Step 5: Solve for x
    x = 3,611,119.92/2,886.16
  6. Step 6: Final answer
    x = 1,251.18

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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.