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Finding the Fourth Proportional to 2,035.29, 3,053.11 and 648.82

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Solution

The fourth proportional to 2,035.29, 3,053.11 and 648.82 is: 973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.29 : 3,053.11 = 648.82 : x
  2. Step 2: Convert to fraction form
    2,035.29/3,053.11 = 648.82/x
  3. Step 3: Cross multiply
    2,035.29x = 3,053.11 × 648.82
  4. Step 4: Simplify right side
    2,035.29x = 1,980,923.80
  5. Step 5: Solve for x
    x = 1,980,923.80/2,035.29
  6. Step 6: Final answer
    x = 973.29

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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.