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Finding the Fourth Proportional to 2,035.72, 3,053.80 and 648.73

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Solution

The fourth proportional to 2,035.72, 3,053.80 and 648.73 is: 973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.72 : 3,053.80 = 648.73 : x
  2. Step 2: Convert to fraction form
    2,035.72/3,053.80 = 648.73/x
  3. Step 3: Cross multiply
    2,035.72x = 3,053.80 × 648.73
  4. Step 4: Simplify right side
    2,035.72x = 1,981,091.67
  5. Step 5: Solve for x
    x = 1,981,091.67/2,035.72
  6. Step 6: Final answer
    x = 973.17

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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.