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Finding the Fourth Proportional to 1,867.70, 2,812.41 and 1,351.32

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Solution

The fourth proportional to 1,867.70, 2,812.41 and 1,351.32 is: 2,034.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.70 : 2,812.41 = 1,351.32 : x
  2. Step 2: Convert to fraction form
    1,867.70/2,812.41 = 1,351.32/x
  3. Step 3: Cross multiply
    1,867.70x = 2,812.41 × 1,351.32
  4. Step 4: Simplify right side
    1,867.70x = 3,800,465.88
  5. Step 5: Solve for x
    x = 3,800,465.88/1,867.70
  6. Step 6: Final answer
    x = 2,034.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.