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Finding the Fourth Proportional to 2,612.87, 3,916.80 and 968.97

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Solution

The fourth proportional to 2,612.87, 3,916.80 and 968.97 is: 1,452.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.87 : 3,916.80 = 968.97 : x
  2. Step 2: Convert to fraction form
    2,612.87/3,916.80 = 968.97/x
  3. Step 3: Cross multiply
    2,612.87x = 3,916.80 × 968.97
  4. Step 4: Simplify right side
    2,612.87x = 3,795,261.70
  5. Step 5: Solve for x
    x = 3,795,261.70/2,612.87
  6. Step 6: Final answer
    x = 1,452.53

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1.5x scale

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.