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Finding the Fourth Proportional to 3,070.80, 4,600.42 and 1,817.66

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Solution

The fourth proportional to 3,070.80, 4,600.42 and 1,817.66 is: 2,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.80 : 4,600.42 = 1,817.66 : x
  2. Step 2: Convert to fraction form
    3,070.80/4,600.42 = 1,817.66/x
  3. Step 3: Cross multiply
    3,070.80x = 4,600.42 × 1,817.66
  4. Step 4: Simplify right side
    3,070.80x = 8,361,999.42
  5. Step 5: Solve for x
    x = 8,361,999.42/3,070.80
  6. Step 6: Final answer
    x = 2,723.07

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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.