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Finding the Fourth Proportional to 1,784.62, 2,676.15 and 847.83

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Solution

The fourth proportional to 1,784.62, 2,676.15 and 847.83 is: 1,271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.62 : 2,676.15 = 847.83 : x
  2. Step 2: Convert to fraction form
    1,784.62/2,676.15 = 847.83/x
  3. Step 3: Cross multiply
    1,784.62x = 2,676.15 × 847.83
  4. Step 4: Simplify right side
    1,784.62x = 2,268,920.25
  5. Step 5: Solve for x
    x = 2,268,920.25/1,784.62
  6. Step 6: Final answer
    x = 1,271.37

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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.