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Finding the Fourth Proportional to 2,053.92, 3,083.63 and 1,747.74

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Solution

The fourth proportional to 2,053.92, 3,083.63 and 1,747.74 is: 2,623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.92 : 3,083.63 = 1,747.74 : x
  2. Step 2: Convert to fraction form
    2,053.92/3,083.63 = 1,747.74/x
  3. Step 3: Cross multiply
    2,053.92x = 3,083.63 × 1,747.74
  4. Step 4: Simplify right side
    2,053.92x = 5,389,374.76
  5. Step 5: Solve for x
    x = 5,389,374.76/2,053.92
  6. Step 6: Final answer
    x = 2,623.95

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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.