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Finding the Fourth Proportional to 2,034.31, 3,051.06 and 573.16

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Solution

The fourth proportional to 2,034.31, 3,051.06 and 573.16 is: 859.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.31 : 3,051.06 = 573.16 : x
  2. Step 2: Convert to fraction form
    2,034.31/3,051.06 = 573.16/x
  3. Step 3: Cross multiply
    2,034.31x = 3,051.06 × 573.16
  4. Step 4: Simplify right side
    2,034.31x = 1,748,745.55
  5. Step 5: Solve for x
    x = 1,748,745.55/2,034.31
  6. Step 6: Final answer
    x = 859.63

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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.