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Finding the Fourth Proportional to 2,170.49, 3,254.60 and 936.24

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Solution

The fourth proportional to 2,170.49, 3,254.60 and 936.24 is: 1,403.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.49 : 3,254.60 = 936.24 : x
  2. Step 2: Convert to fraction form
    2,170.49/3,254.60 = 936.24/x
  3. Step 3: Cross multiply
    2,170.49x = 3,254.60 × 936.24
  4. Step 4: Simplify right side
    2,170.49x = 3,047,082.02
  5. Step 5: Solve for x
    x = 3,047,082.02/2,170.49
  6. Step 6: Final answer
    x = 1,403.87

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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.