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Finding the Fourth Proportional to 1,858.32, 2,786.36 and 1,280.56

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Solution

The fourth proportional to 1,858.32, 2,786.36 and 1,280.56 is: 1,920.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.32 : 2,786.36 = 1,280.56 : x
  2. Step 2: Convert to fraction form
    1,858.32/2,786.36 = 1,280.56/x
  3. Step 3: Cross multiply
    1,858.32x = 2,786.36 × 1,280.56
  4. Step 4: Simplify right side
    1,858.32x = 3,568,101.16
  5. Step 5: Solve for x
    x = 3,568,101.16/1,858.32
  6. Step 6: Final answer
    x = 1,920.07

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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.