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Finding the Fourth Proportional to 2,738.46, 3,780.64 and 1,809.66

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Solution

The fourth proportional to 2,738.46, 3,780.64 and 1,809.66 is: 2,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.46 : 3,780.64 = 1,809.66 : x
  2. Step 2: Convert to fraction form
    2,738.46/3,780.64 = 1,809.66/x
  3. Step 3: Cross multiply
    2,738.46x = 3,780.64 × 1,809.66
  4. Step 4: Simplify right side
    2,738.46x = 6,841,672.98
  5. Step 5: Solve for x
    x = 6,841,672.98/2,738.46
  6. Step 6: Final answer
    x = 2,498.37

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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.