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Finding the Fourth Proportional to 2,035.65, 3,053.37 and 649.05

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Solution

The fourth proportional to 2,035.65, 3,053.37 and 649.05 is: 973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.65 : 3,053.37 = 649.05 : x
  2. Step 2: Convert to fraction form
    2,035.65/3,053.37 = 649.05/x
  3. Step 3: Cross multiply
    2,035.65x = 3,053.37 × 649.05
  4. Step 4: Simplify right side
    2,035.65x = 1,981,789.80
  5. Step 5: Solve for x
    x = 1,981,789.80/2,035.65
  6. Step 6: Final answer
    x = 973.54

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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.