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Finding the Fourth Proportional to 2,912.00, 4,018.43 and 1,585.62

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Solution

The fourth proportional to 2,912.00, 4,018.43 and 1,585.62 is: 2,188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.00 : 4,018.43 = 1,585.62 : x
  2. Step 2: Convert to fraction form
    2,912.00/4,018.43 = 1,585.62/x
  3. Step 3: Cross multiply
    2,912.00x = 4,018.43 × 1,585.62
  4. Step 4: Simplify right side
    2,912.00x = 6,371,695.05
  5. Step 5: Solve for x
    x = 6,371,695.05/2,912.00
  6. Step 6: Final answer
    x = 2,188.09

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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.