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Finding the Fourth Proportional to 1,946.50, 2,919.78 and 578.50

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Solution

The fourth proportional to 1,946.50, 2,919.78 and 578.50 is: 867.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.50 : 2,919.78 = 578.50 : x
  2. Step 2: Convert to fraction form
    1,946.50/2,919.78 = 578.50/x
  3. Step 3: Cross multiply
    1,946.50x = 2,919.78 × 578.50
  4. Step 4: Simplify right side
    1,946.50x = 1,689,092.73
  5. Step 5: Solve for x
    x = 1,689,092.73/1,946.50
  6. Step 6: Final answer
    x = 867.76

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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.