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Finding the Fourth Proportional to 1,940.96, 2,909.52 and 1,484

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Solution

The fourth proportional to 1,940.96, 2,909.52 and 1,484 is: 2,224.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.96 : 2,909.52 = 1,484 : x
  2. Step 2: Convert to fraction form
    1,940.96/2,909.52 = 1,484/x
  3. Step 3: Cross multiply
    1,940.96x = 2,909.52 × 1,484
  4. Step 4: Simplify right side
    1,940.96x = 4,317,727.68
  5. Step 5: Solve for x
    x = 4,317,727.68/1,940.96
  6. Step 6: Final answer
    x = 2,224.53

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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.