Home / 2,049.16-2,823.78-1,427.08

Finding the Fourth Proportional to 2,049.16, 2,823.78 and 1,427.08

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Solution

The fourth proportional to 2,049.16, 2,823.78 and 1,427.08 is: 1,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.16 : 2,823.78 = 1,427.08 : x
  2. Step 2: Convert to fraction form
    2,049.16/2,823.78 = 1,427.08/x
  3. Step 3: Cross multiply
    2,049.16x = 2,823.78 × 1,427.08
  4. Step 4: Simplify right side
    2,049.16x = 4,029,759.96
  5. Step 5: Solve for x
    x = 4,029,759.96/2,049.16
  6. Step 6: Final answer
    x = 1,966.54

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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.