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Finding the Fourth Proportional to 2,912.37, 4,019.16 and 1,585.99

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Solution

The fourth proportional to 2,912.37, 4,019.16 and 1,585.99 is: 2,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.37 : 4,019.16 = 1,585.99 : x
  2. Step 2: Convert to fraction form
    2,912.37/4,019.16 = 1,585.99/x
  3. Step 3: Cross multiply
    2,912.37x = 4,019.16 × 1,585.99
  4. Step 4: Simplify right side
    2,912.37x = 6,374,347.57
  5. Step 5: Solve for x
    x = 6,374,347.57/2,912.37
  6. Step 6: Final answer
    x = 2,188.71

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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.