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Finding the Fourth Proportional to 1,649.42, 2,463.59 and 1,493

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Solution

The fourth proportional to 1,649.42, 2,463.59 and 1,493 is: 2,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.42 : 2,463.59 = 1,493 : x
  2. Step 2: Convert to fraction form
    1,649.42/2,463.59 = 1,493/x
  3. Step 3: Cross multiply
    1,649.42x = 2,463.59 × 1,493
  4. Step 4: Simplify right side
    1,649.42x = 3,678,139.87
  5. Step 5: Solve for x
    x = 3,678,139.87/1,649.42
  6. Step 6: Final answer
    x = 2,229.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.