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Finding the Fourth Proportional to 2,049.92, 2,827.98 and 1,263.50

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Solution

The fourth proportional to 2,049.92, 2,827.98 and 1,263.50 is: 1,743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.92 : 2,827.98 = 1,263.50 : x
  2. Step 2: Convert to fraction form
    2,049.92/2,827.98 = 1,263.50/x
  3. Step 3: Cross multiply
    2,049.92x = 2,827.98 × 1,263.50
  4. Step 4: Simplify right side
    2,049.92x = 3,573,152.73
  5. Step 5: Solve for x
    x = 3,573,152.73/2,049.92
  6. Step 6: Final answer
    x = 1,743.07

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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.