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Finding the Fourth Proportional to 2,064.61, 3,097.83 and 834.42

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Solution

The fourth proportional to 2,064.61, 3,097.83 and 834.42 is: 1,252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.61 : 3,097.83 = 834.42 : x
  2. Step 2: Convert to fraction form
    2,064.61/3,097.83 = 834.42/x
  3. Step 3: Cross multiply
    2,064.61x = 3,097.83 × 834.42
  4. Step 4: Simplify right side
    2,064.61x = 2,584,887.14
  5. Step 5: Solve for x
    x = 2,584,887.14/2,064.61
  6. Step 6: Final answer
    x = 1,252.00

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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.