Home / 2,056.25-3,084.68-669.12

Finding the Fourth Proportional to 2,056.25, 3,084.68 and 669.12

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Solution

The fourth proportional to 2,056.25, 3,084.68 and 669.12 is: 1,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.25 : 3,084.68 = 669.12 : x
  2. Step 2: Convert to fraction form
    2,056.25/3,084.68 = 669.12/x
  3. Step 3: Cross multiply
    2,056.25x = 3,084.68 × 669.12
  4. Step 4: Simplify right side
    2,056.25x = 2,064,021.08
  5. Step 5: Solve for x
    x = 2,064,021.08/2,056.25
  6. Step 6: Final answer
    x = 1,003.78

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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.