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Finding the Fourth Proportional to 2,035.73, 3,053.55 and 649.05

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Solution

The fourth proportional to 2,035.73, 3,053.55 and 649.05 is: 973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.73 : 3,053.55 = 649.05 : x
  2. Step 2: Convert to fraction form
    2,035.73/3,053.55 = 649.05/x
  3. Step 3: Cross multiply
    2,035.73x = 3,053.55 × 649.05
  4. Step 4: Simplify right side
    2,035.73x = 1,981,899.23
  5. Step 5: Solve for x
    x = 1,981,899.23/2,035.73
  6. Step 6: Final answer
    x = 973.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.