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Finding the Fourth Proportional to 2,705.70, 3,733.98 and 1,644.18

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Solution

The fourth proportional to 2,705.70, 3,733.98 and 1,644.18 is: 2,269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.70 : 3,733.98 = 1,644.18 : x
  2. Step 2: Convert to fraction form
    2,705.70/3,733.98 = 1,644.18/x
  3. Step 3: Cross multiply
    2,705.70x = 3,733.98 × 1,644.18
  4. Step 4: Simplify right side
    2,705.70x = 6,139,335.24
  5. Step 5: Solve for x
    x = 6,139,335.24/2,705.70
  6. Step 6: Final answer
    x = 2,269.04

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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.