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Finding the Fourth Proportional to 1,520.34, 2,096.76 and 989.03

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Solution

The fourth proportional to 1,520.34, 2,096.76 and 989.03 is: 1,364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.34 : 2,096.76 = 989.03 : x
  2. Step 2: Convert to fraction form
    1,520.34/2,096.76 = 989.03/x
  3. Step 3: Cross multiply
    1,520.34x = 2,096.76 × 989.03
  4. Step 4: Simplify right side
    1,520.34x = 2,073,753.60
  5. Step 5: Solve for x
    x = 2,073,753.60/1,520.34
  6. Step 6: Final answer
    x = 1,364.01

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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.