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Finding the Fourth Proportional to 2,565.84, 3,847.80 and 834

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Solution

The fourth proportional to 2,565.84, 3,847.80 and 834 is: 1,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.84 : 3,847.80 = 834 : x
  2. Step 2: Convert to fraction form
    2,565.84/3,847.80 = 834/x
  3. Step 3: Cross multiply
    2,565.84x = 3,847.80 × 834
  4. Step 4: Simplify right side
    2,565.84x = 3,209,065.20
  5. Step 5: Solve for x
    x = 3,209,065.20/2,565.84
  6. Step 6: Final answer
    x = 1,250.69

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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.