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Finding the Fourth Proportional to 2,064.68, 3,097.30 and 603.82

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Solution

The fourth proportional to 2,064.68, 3,097.30 and 603.82 is: 905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.68 : 3,097.30 = 603.82 : x
  2. Step 2: Convert to fraction form
    2,064.68/3,097.30 = 603.82/x
  3. Step 3: Cross multiply
    2,064.68x = 3,097.30 × 603.82
  4. Step 4: Simplify right side
    2,064.68x = 1,870,211.69
  5. Step 5: Solve for x
    x = 1,870,211.69/2,064.68
  6. Step 6: Final answer
    x = 905.81

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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.