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Finding the Fourth Proportional to 2,034.81, 3,044.93 and 1,761.84

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Solution

The fourth proportional to 2,034.81, 3,044.93 and 1,761.84 is: 2,636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.81 : 3,044.93 = 1,761.84 : x
  2. Step 2: Convert to fraction form
    2,034.81/3,044.93 = 1,761.84/x
  3. Step 3: Cross multiply
    2,034.81x = 3,044.93 × 1,761.84
  4. Step 4: Simplify right side
    2,034.81x = 5,364,670.66
  5. Step 5: Solve for x
    x = 5,364,670.66/2,034.81
  6. Step 6: Final answer
    x = 2,636.45

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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.