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Finding the Fourth Proportional to 2,884.61, 3,980.75 and 1,705.66

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Solution

The fourth proportional to 2,884.61, 3,980.75 and 1,705.66 is: 2,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.61 : 3,980.75 = 1,705.66 : x
  2. Step 2: Convert to fraction form
    2,884.61/3,980.75 = 1,705.66/x
  3. Step 3: Cross multiply
    2,884.61x = 3,980.75 × 1,705.66
  4. Step 4: Simplify right side
    2,884.61x = 6,789,787.56
  5. Step 5: Solve for x
    x = 6,789,787.56/2,884.61
  6. Step 6: Final answer
    x = 2,353.80

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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.