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Finding the Fourth Proportional to 2,034.44, 3,051.66 and 573.59

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Solution

The fourth proportional to 2,034.44, 3,051.66 and 573.59 is: 860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.44 : 3,051.66 = 573.59 : x
  2. Step 2: Convert to fraction form
    2,034.44/3,051.66 = 573.59/x
  3. Step 3: Cross multiply
    2,034.44x = 3,051.66 × 573.59
  4. Step 4: Simplify right side
    2,034.44x = 1,750,409.29
  5. Step 5: Solve for x
    x = 1,750,409.29/2,034.44
  6. Step 6: Final answer
    x = 860.39

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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.