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Finding the Fourth Proportional to 2,977.70, 4,463.81 and 1,028.53

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Solution

The fourth proportional to 2,977.70, 4,463.81 and 1,028.53 is: 1,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.70 : 4,463.81 = 1,028.53 : x
  2. Step 2: Convert to fraction form
    2,977.70/4,463.81 = 1,028.53/x
  3. Step 3: Cross multiply
    2,977.70x = 4,463.81 × 1,028.53
  4. Step 4: Simplify right side
    2,977.70x = 4,591,166.79
  5. Step 5: Solve for x
    x = 4,591,166.79/2,977.70
  6. Step 6: Final answer
    x = 1,541.85

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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.