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Finding the Fourth Proportional to 1,946.57, 2,919.43 and 559.60

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Solution

The fourth proportional to 1,946.57, 2,919.43 and 559.60 is: 839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.57 : 2,919.43 = 559.60 : x
  2. Step 2: Convert to fraction form
    1,946.57/2,919.43 = 559.60/x
  3. Step 3: Cross multiply
    1,946.57x = 2,919.43 × 559.60
  4. Step 4: Simplify right side
    1,946.57x = 1,633,707.98
  5. Step 5: Solve for x
    x = 1,633,707.98/1,946.57
  6. Step 6: Final answer
    x = 839.27

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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.