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Finding the Fourth Proportional to 1,888.14, 2,832.73 and 1,343.79

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Solution

The fourth proportional to 1,888.14, 2,832.73 and 1,343.79 is: 2,016.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.14 : 2,832.73 = 1,343.79 : x
  2. Step 2: Convert to fraction form
    1,888.14/2,832.73 = 1,343.79/x
  3. Step 3: Cross multiply
    1,888.14x = 2,832.73 × 1,343.79
  4. Step 4: Simplify right side
    1,888.14x = 3,806,590.89
  5. Step 5: Solve for x
    x = 3,806,590.89/1,888.14
  6. Step 6: Final answer
    x = 2,016.05

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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.