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Finding the Fourth Proportional to 2,801.80, 4,191.90 and 1,705.96

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Solution

The fourth proportional to 2,801.80, 4,191.90 and 1,705.96 is: 2,552.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.80 : 4,191.90 = 1,705.96 : x
  2. Step 2: Convert to fraction form
    2,801.80/4,191.90 = 1,705.96/x
  3. Step 3: Cross multiply
    2,801.80x = 4,191.90 × 1,705.96
  4. Step 4: Simplify right side
    2,801.80x = 7,151,213.72
  5. Step 5: Solve for x
    x = 7,151,213.72/2,801.80
  6. Step 6: Final answer
    x = 2,552.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.