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Finding the Fourth Proportional to 3,490.46, 4,816.82 and 1,918.55

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Solution

The fourth proportional to 3,490.46, 4,816.82 and 1,918.55 is: 2,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.46 : 4,816.82 = 1,918.55 : x
  2. Step 2: Convert to fraction form
    3,490.46/4,816.82 = 1,918.55/x
  3. Step 3: Cross multiply
    3,490.46x = 4,816.82 × 1,918.55
  4. Step 4: Simplify right side
    3,490.46x = 9,241,326.85
  5. Step 5: Solve for x
    x = 9,241,326.85/3,490.46
  6. Step 6: Final answer
    x = 2,647.60

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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.