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Finding the Fourth Proportional to 2,035.97, 3,053.98 and 649.30

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Solution

The fourth proportional to 2,035.97, 3,053.98 and 649.30 is: 973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.97 : 3,053.98 = 649.30 : x
  2. Step 2: Convert to fraction form
    2,035.97/3,053.98 = 649.30/x
  3. Step 3: Cross multiply
    2,035.97x = 3,053.98 × 649.30
  4. Step 4: Simplify right side
    2,035.97x = 1,982,949.21
  5. Step 5: Solve for x
    x = 1,982,949.21/2,035.97
  6. Step 6: Final answer
    x = 973.96

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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.