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Finding the Fourth Proportional to 2,065, 3,097.78 and 603.96

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Solution

The fourth proportional to 2,065, 3,097.78 and 603.96 is: 906.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065 : 3,097.78 = 603.96 : x
  2. Step 2: Convert to fraction form
    2,065/3,097.78 = 603.96/x
  3. Step 3: Cross multiply
    2,065x = 3,097.78 × 603.96
  4. Step 4: Simplify right side
    2,065x = 1,870,935.21
  5. Step 5: Solve for x
    x = 1,870,935.21/2,065
  6. Step 6: Final answer
    x = 906.02

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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.