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Finding the Fourth Proportional to 2,760.30, 3,809.80 and 1,698.96

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Solution

The fourth proportional to 2,760.30, 3,809.80 and 1,698.96 is: 2,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.30 : 3,809.80 = 1,698.96 : x
  2. Step 2: Convert to fraction form
    2,760.30/3,809.80 = 1,698.96/x
  3. Step 3: Cross multiply
    2,760.30x = 3,809.80 × 1,698.96
  4. Step 4: Simplify right side
    2,760.30x = 6,472,697.81
  5. Step 5: Solve for x
    x = 6,472,697.81/2,760.30
  6. Step 6: Final answer
    x = 2,344.93

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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.