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Finding the Fourth Proportional to 2,562.39, 3,843.34 and 1,870.43

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Solution

The fourth proportional to 2,562.39, 3,843.34 and 1,870.43 is: 2,805.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.39 : 3,843.34 = 1,870.43 : x
  2. Step 2: Convert to fraction form
    2,562.39/3,843.34 = 1,870.43/x
  3. Step 3: Cross multiply
    2,562.39x = 3,843.34 × 1,870.43
  4. Step 4: Simplify right side
    2,562.39x = 7,188,674.54
  5. Step 5: Solve for x
    x = 7,188,674.54/2,562.39
  6. Step 6: Final answer
    x = 2,805.46

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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.