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Finding the Fourth Proportional to 2,484.99, 3,728.43 and 1,169.46

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Solution

The fourth proportional to 2,484.99, 3,728.43 and 1,169.46 is: 1,754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.99 : 3,728.43 = 1,169.46 : x
  2. Step 2: Convert to fraction form
    2,484.99/3,728.43 = 1,169.46/x
  3. Step 3: Cross multiply
    2,484.99x = 3,728.43 × 1,169.46
  4. Step 4: Simplify right side
    2,484.99x = 4,360,249.75
  5. Step 5: Solve for x
    x = 4,360,249.75/2,484.99
  6. Step 6: Final answer
    x = 1,754.63

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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.