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Finding the Fourth Proportional to 1,977.42, 2,728.50 and 1,138.02

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Solution

The fourth proportional to 1,977.42, 2,728.50 and 1,138.02 is: 1,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.42 : 2,728.50 = 1,138.02 : x
  2. Step 2: Convert to fraction form
    1,977.42/2,728.50 = 1,138.02/x
  3. Step 3: Cross multiply
    1,977.42x = 2,728.50 × 1,138.02
  4. Step 4: Simplify right side
    1,977.42x = 3,105,087.57
  5. Step 5: Solve for x
    x = 3,105,087.57/1,977.42
  6. Step 6: Final answer
    x = 1,570.27

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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.