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Finding the Fourth Proportional to 2,304.83, 3,457.59 and 843.87

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Solution

The fourth proportional to 2,304.83, 3,457.59 and 843.87 is: 1,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.83 : 3,457.59 = 843.87 : x
  2. Step 2: Convert to fraction form
    2,304.83/3,457.59 = 843.87/x
  3. Step 3: Cross multiply
    2,304.83x = 3,457.59 × 843.87
  4. Step 4: Simplify right side
    2,304.83x = 2,917,745.72
  5. Step 5: Solve for x
    x = 2,917,745.72/2,304.83
  6. Step 6: Final answer
    x = 1,265.93

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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.