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Finding the Fourth Proportional to 4,527.66, 6,791.49 and 1,605.29

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Solution

The fourth proportional to 4,527.66, 6,791.49 and 1,605.29 is: 2,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527.66 : 6,791.49 = 1,605.29 : x
  2. Step 2: Convert to fraction form
    4,527.66/6,791.49 = 1,605.29/x
  3. Step 3: Cross multiply
    4,527.66x = 6,791.49 × 1,605.29
  4. Step 4: Simplify right side
    4,527.66x = 10,902,277.02
  5. Step 5: Solve for x
    x = 10,902,277.02/4,527.66
  6. Step 6: Final answer
    x = 2,407.93

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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.