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Finding the Fourth Proportional to 2,527.64, 3,793.62 and 989.72

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Solution

The fourth proportional to 2,527.64, 3,793.62 and 989.72 is: 1,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.64 : 3,793.62 = 989.72 : x
  2. Step 2: Convert to fraction form
    2,527.64/3,793.62 = 989.72/x
  3. Step 3: Cross multiply
    2,527.64x = 3,793.62 × 989.72
  4. Step 4: Simplify right side
    2,527.64x = 3,754,621.59
  5. Step 5: Solve for x
    x = 3,754,621.59/2,527.64
  6. Step 6: Final answer
    x = 1,485.43

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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.