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Finding the Fourth Proportional to 2,970.87, 4,100.18 and 2,027.62

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Solution

The fourth proportional to 2,970.87, 4,100.18 and 2,027.62 is: 2,798.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.87 : 4,100.18 = 2,027.62 : x
  2. Step 2: Convert to fraction form
    2,970.87/4,100.18 = 2,027.62/x
  3. Step 3: Cross multiply
    2,970.87x = 4,100.18 × 2,027.62
  4. Step 4: Simplify right side
    2,970.87x = 8,313,606.97
  5. Step 5: Solve for x
    x = 8,313,606.97/2,970.87
  6. Step 6: Final answer
    x = 2,798.37

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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.