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Finding the Fourth Proportional to 1,867.94, 2,797.63 and 1,086

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Solution

The fourth proportional to 1,867.94, 2,797.63 and 1,086 is: 1,626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.94 : 2,797.63 = 1,086 : x
  2. Step 2: Convert to fraction form
    1,867.94/2,797.63 = 1,086/x
  3. Step 3: Cross multiply
    1,867.94x = 2,797.63 × 1,086
  4. Step 4: Simplify right side
    1,867.94x = 3,038,226.18
  5. Step 5: Solve for x
    x = 3,038,226.18/1,867.94
  6. Step 6: Final answer
    x = 1,626.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.