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Finding the Fourth Proportional to 1,855.97, 2,562.15 and 1,435.37

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Solution

The fourth proportional to 1,855.97, 2,562.15 and 1,435.37 is: 1,981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.97 : 2,562.15 = 1,435.37 : x
  2. Step 2: Convert to fraction form
    1,855.97/2,562.15 = 1,435.37/x
  3. Step 3: Cross multiply
    1,855.97x = 2,562.15 × 1,435.37
  4. Step 4: Simplify right side
    1,855.97x = 3,677,620.43
  5. Step 5: Solve for x
    x = 3,677,620.43/1,855.97
  6. Step 6: Final answer
    x = 1,981.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.