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Finding the Fourth Proportional to 2,035.49, 3,053.29 and 574.49

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Solution

The fourth proportional to 2,035.49, 3,053.29 and 574.49 is: 861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.49 : 3,053.29 = 574.49 : x
  2. Step 2: Convert to fraction form
    2,035.49/3,053.29 = 574.49/x
  3. Step 3: Cross multiply
    2,035.49x = 3,053.29 × 574.49
  4. Step 4: Simplify right side
    2,035.49x = 1,754,067.87
  5. Step 5: Solve for x
    x = 1,754,067.87/2,035.49
  6. Step 6: Final answer
    x = 861.74

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1.5x scale

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.