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Finding the Fourth Proportional to 2,170.99, 3,258.30 and 939.32

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Solution

The fourth proportional to 2,170.99, 3,258.30 and 939.32 is: 1,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.99 : 3,258.30 = 939.32 : x
  2. Step 2: Convert to fraction form
    2,170.99/3,258.30 = 939.32/x
  3. Step 3: Cross multiply
    2,170.99x = 3,258.30 × 939.32
  4. Step 4: Simplify right side
    2,170.99x = 3,060,586.36
  5. Step 5: Solve for x
    x = 3,060,586.36/2,170.99
  6. Step 6: Final answer
    x = 1,409.77

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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.