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Finding the Fourth Proportional to 3,601.50, 4,970.07 and 1,945.50

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Solution

The fourth proportional to 3,601.50, 4,970.07 and 1,945.50 is: 2,684.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.50 : 4,970.07 = 1,945.50 : x
  2. Step 2: Convert to fraction form
    3,601.50/4,970.07 = 1,945.50/x
  3. Step 3: Cross multiply
    3,601.50x = 4,970.07 × 1,945.50
  4. Step 4: Simplify right side
    3,601.50x = 9,669,271.19
  5. Step 5: Solve for x
    x = 9,669,271.19/3,601.50
  6. Step 6: Final answer
    x = 2,684.79

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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.