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Finding the Fourth Proportional to 1,977.41, 2,967.18 and 1,283.92

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Solution

The fourth proportional to 1,977.41, 2,967.18 and 1,283.92 is: 1,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.41 : 2,967.18 = 1,283.92 : x
  2. Step 2: Convert to fraction form
    1,977.41/2,967.18 = 1,283.92/x
  3. Step 3: Cross multiply
    1,977.41x = 2,967.18 × 1,283.92
  4. Step 4: Simplify right side
    1,977.41x = 3,809,600.49
  5. Step 5: Solve for x
    x = 3,809,600.49/1,977.41
  6. Step 6: Final answer
    x = 1,926.56

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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.