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Finding the Fourth Proportional to 2,843.83, 4,265.43 and 1,607.32

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Solution

The fourth proportional to 2,843.83, 4,265.43 and 1,607.32 is: 2,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.83 : 4,265.43 = 1,607.32 : x
  2. Step 2: Convert to fraction form
    2,843.83/4,265.43 = 1,607.32/x
  3. Step 3: Cross multiply
    2,843.83x = 4,265.43 × 1,607.32
  4. Step 4: Simplify right side
    2,843.83x = 6,855,910.95
  5. Step 5: Solve for x
    x = 6,855,910.95/2,843.83
  6. Step 6: Final answer
    x = 2,410.80

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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.