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Finding the Fourth Proportional to 2,111.84, 3,169.20 and 958.40

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Solution

The fourth proportional to 2,111.84, 3,169.20 and 958.40 is: 1,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.84 : 3,169.20 = 958.40 : x
  2. Step 2: Convert to fraction form
    2,111.84/3,169.20 = 958.40/x
  3. Step 3: Cross multiply
    2,111.84x = 3,169.20 × 958.40
  4. Step 4: Simplify right side
    2,111.84x = 3,037,361.28
  5. Step 5: Solve for x
    x = 3,037,361.28/2,111.84
  6. Step 6: Final answer
    x = 1,438.25

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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.