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Finding the Fourth Proportional to 2,034.42, 3,051.26 and 573.23

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Solution

The fourth proportional to 2,034.42, 3,051.26 and 573.23 is: 859.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.42 : 3,051.26 = 573.23 : x
  2. Step 2: Convert to fraction form
    2,034.42/3,051.26 = 573.23/x
  3. Step 3: Cross multiply
    2,034.42x = 3,051.26 × 573.23
  4. Step 4: Simplify right side
    2,034.42x = 1,749,058.51
  5. Step 5: Solve for x
    x = 1,749,058.51/2,034.42
  6. Step 6: Final answer
    x = 859.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.