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Finding the Fourth Proportional to 2,187.58, 3,019.12 and 1,381.20

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Solution

The fourth proportional to 2,187.58, 3,019.12 and 1,381.20 is: 1,906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.58 : 3,019.12 = 1,381.20 : x
  2. Step 2: Convert to fraction form
    2,187.58/3,019.12 = 1,381.20/x
  3. Step 3: Cross multiply
    2,187.58x = 3,019.12 × 1,381.20
  4. Step 4: Simplify right side
    2,187.58x = 4,170,015.77
  5. Step 5: Solve for x
    x = 4,170,015.77/2,187.58
  6. Step 6: Final answer
    x = 1,906.23

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Why These Related Problems?

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