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Finding the Fourth Proportional to 2,064.57, 3,097.12 and 603.69

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Solution

The fourth proportional to 2,064.57, 3,097.12 and 603.69 is: 905.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.57 : 3,097.12 = 603.69 : x
  2. Step 2: Convert to fraction form
    2,064.57/3,097.12 = 603.69/x
  3. Step 3: Cross multiply
    2,064.57x = 3,097.12 × 603.69
  4. Step 4: Simplify right side
    2,064.57x = 1,869,700.37
  5. Step 5: Solve for x
    x = 1,869,700.37/2,064.57
  6. Step 6: Final answer
    x = 905.61

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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.