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Finding the Fourth Proportional to 2,035.81, 2,807.56 and 1,721.73

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Solution

The fourth proportional to 2,035.81, 2,807.56 and 1,721.73 is: 2,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.81 : 2,807.56 = 1,721.73 : x
  2. Step 2: Convert to fraction form
    2,035.81/2,807.56 = 1,721.73/x
  3. Step 3: Cross multiply
    2,035.81x = 2,807.56 × 1,721.73
  4. Step 4: Simplify right side
    2,035.81x = 4,833,865.06
  5. Step 5: Solve for x
    x = 4,833,865.06/2,035.81
  6. Step 6: Final answer
    x = 2,374.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.