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Finding the Fourth Proportional to 2,304.93, 3,176.19 and 1,605.09

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Solution

The fourth proportional to 2,304.93, 3,176.19 and 1,605.09 is: 2,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.93 : 3,176.19 = 1,605.09 : x
  2. Step 2: Convert to fraction form
    2,304.93/3,176.19 = 1,605.09/x
  3. Step 3: Cross multiply
    2,304.93x = 3,176.19 × 1,605.09
  4. Step 4: Simplify right side
    2,304.93x = 5,098,070.81
  5. Step 5: Solve for x
    x = 5,098,070.81/2,304.93
  6. Step 6: Final answer
    x = 2,211.81

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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.