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Finding the Fourth Proportional to 2,035.66, 3,053.65 and 574.82

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Solution

The fourth proportional to 2,035.66, 3,053.65 and 574.82 is: 862.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.66 : 3,053.65 = 574.82 : x
  2. Step 2: Convert to fraction form
    2,035.66/3,053.65 = 574.82/x
  3. Step 3: Cross multiply
    2,035.66x = 3,053.65 × 574.82
  4. Step 4: Simplify right side
    2,035.66x = 1,755,299.09
  5. Step 5: Solve for x
    x = 1,755,299.09/2,035.66
  6. Step 6: Final answer
    x = 862.28

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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.