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Finding the Fourth Proportional to 2,997.81, 4,498.02 and 1,609.53

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Solution

The fourth proportional to 2,997.81, 4,498.02 and 1,609.53 is: 2,414.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.81 : 4,498.02 = 1,609.53 : x
  2. Step 2: Convert to fraction form
    2,997.81/4,498.02 = 1,609.53/x
  3. Step 3: Cross multiply
    2,997.81x = 4,498.02 × 1,609.53
  4. Step 4: Simplify right side
    2,997.81x = 7,239,696.12
  5. Step 5: Solve for x
    x = 7,239,696.12/2,997.81
  6. Step 6: Final answer
    x = 2,414.99

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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.