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Finding the Fourth Proportional to 1,943.32, 2,913.78 and 968.92

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Solution

The fourth proportional to 1,943.32, 2,913.78 and 968.92 is: 1,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.32 : 2,913.78 = 968.92 : x
  2. Step 2: Convert to fraction form
    1,943.32/2,913.78 = 968.92/x
  3. Step 3: Cross multiply
    1,943.32x = 2,913.78 × 968.92
  4. Step 4: Simplify right side
    1,943.32x = 2,823,219.72
  5. Step 5: Solve for x
    x = 2,823,219.72/1,943.32
  6. Step 6: Final answer
    x = 1,452.78

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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.