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Finding the Fourth Proportional to 1,847.42, 2,771.15 and 614.83

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Solution

The fourth proportional to 1,847.42, 2,771.15 and 614.83 is: 922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.42 : 2,771.15 = 614.83 : x
  2. Step 2: Convert to fraction form
    1,847.42/2,771.15 = 614.83/x
  3. Step 3: Cross multiply
    1,847.42x = 2,771.15 × 614.83
  4. Step 4: Simplify right side
    1,847.42x = 1,703,784.23
  5. Step 5: Solve for x
    x = 1,703,784.23/1,847.42
  6. Step 6: Final answer
    x = 922.25

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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.