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Finding the Fourth Proportional to 2,034.72, 3,051.66 and 574.02

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Solution

The fourth proportional to 2,034.72, 3,051.66 and 574.02 is: 860.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.72 : 3,051.66 = 574.02 : x
  2. Step 2: Convert to fraction form
    2,034.72/3,051.66 = 574.02/x
  3. Step 3: Cross multiply
    2,034.72x = 3,051.66 × 574.02
  4. Step 4: Simplify right side
    2,034.72x = 1,751,713.87
  5. Step 5: Solve for x
    x = 1,751,713.87/2,034.72
  6. Step 6: Final answer
    x = 860.91

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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.