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Finding the Fourth Proportional to 1,649.50, 2,473.17 and 1,336.30

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Solution

The fourth proportional to 1,649.50, 2,473.17 and 1,336.30 is: 2,003.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.50 : 2,473.17 = 1,336.30 : x
  2. Step 2: Convert to fraction form
    1,649.50/2,473.17 = 1,336.30/x
  3. Step 3: Cross multiply
    1,649.50x = 2,473.17 × 1,336.30
  4. Step 4: Simplify right side
    1,649.50x = 3,304,897.07
  5. Step 5: Solve for x
    x = 3,304,897.07/1,649.50
  6. Step 6: Final answer
    x = 2,003.58

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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.