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Finding the Fourth Proportional to 1,986.39, 2,977.41 and 753.24

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Solution

The fourth proportional to 1,986.39, 2,977.41 and 753.24 is: 1,129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.39 : 2,977.41 = 753.24 : x
  2. Step 2: Convert to fraction form
    1,986.39/2,977.41 = 753.24/x
  3. Step 3: Cross multiply
    1,986.39x = 2,977.41 × 753.24
  4. Step 4: Simplify right side
    1,986.39x = 2,242,704.31
  5. Step 5: Solve for x
    x = 2,242,704.31/1,986.39
  6. Step 6: Final answer
    x = 1,129.04

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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.