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Finding the Fourth Proportional to 2,977.81, 4,109.74 and 2,033.30

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Solution

The fourth proportional to 2,977.81, 4,109.74 and 2,033.30 is: 2,806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.81 : 4,109.74 = 2,033.30 : x
  2. Step 2: Convert to fraction form
    2,977.81/4,109.74 = 2,033.30/x
  3. Step 3: Cross multiply
    2,977.81x = 4,109.74 × 2,033.30
  4. Step 4: Simplify right side
    2,977.81x = 8,356,339.53
  5. Step 5: Solve for x
    x = 8,356,339.53/2,977.81
  6. Step 6: Final answer
    x = 2,806.20

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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.