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Finding the Fourth Proportional to 1,977.54, 2,961.03 and 1,743.99

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Solution

The fourth proportional to 1,977.54, 2,961.03 and 1,743.99 is: 2,611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.54 : 2,961.03 = 1,743.99 : x
  2. Step 2: Convert to fraction form
    1,977.54/2,961.03 = 1,743.99/x
  3. Step 3: Cross multiply
    1,977.54x = 2,961.03 × 1,743.99
  4. Step 4: Simplify right side
    1,977.54x = 5,164,006.71
  5. Step 5: Solve for x
    x = 5,164,006.71/1,977.54
  6. Step 6: Final answer
    x = 2,611.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.