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Finding the Fourth Proportional to 2,051.51, 2,832.87 and 1,608.65

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Solution

The fourth proportional to 2,051.51, 2,832.87 and 1,608.65 is: 2,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.51 : 2,832.87 = 1,608.65 : x
  2. Step 2: Convert to fraction form
    2,051.51/2,832.87 = 1,608.65/x
  3. Step 3: Cross multiply
    2,051.51x = 2,832.87 × 1,608.65
  4. Step 4: Simplify right side
    2,051.51x = 4,557,082.16
  5. Step 5: Solve for x
    x = 4,557,082.16/2,051.51
  6. Step 6: Final answer
    x = 2,221.34

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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.