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Finding the Fourth Proportional to 1,965.78, 2,946.15 and 1,641.78

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Solution

The fourth proportional to 1,965.78, 2,946.15 and 1,641.78 is: 2,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.78 : 2,946.15 = 1,641.78 : x
  2. Step 2: Convert to fraction form
    1,965.78/2,946.15 = 1,641.78/x
  3. Step 3: Cross multiply
    1,965.78x = 2,946.15 × 1,641.78
  4. Step 4: Simplify right side
    1,965.78x = 4,836,930.15
  5. Step 5: Solve for x
    x = 4,836,930.15/1,965.78
  6. Step 6: Final answer
    x = 2,460.57

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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.