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Finding the Fourth Proportional to 3,481.84, 4,804.89 and 1,909.93

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Solution

The fourth proportional to 3,481.84, 4,804.89 and 1,909.93 is: 2,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.84 : 4,804.89 = 1,909.93 : x
  2. Step 2: Convert to fraction form
    3,481.84/4,804.89 = 1,909.93/x
  3. Step 3: Cross multiply
    3,481.84x = 4,804.89 × 1,909.93
  4. Step 4: Simplify right side
    3,481.84x = 9,177,009.51
  5. Step 5: Solve for x
    x = 9,177,009.51/3,481.84
  6. Step 6: Final answer
    x = 2,635.68

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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.