Home / 2,089.48-2,882.82-1,205.16

Finding the Fourth Proportional to 2,089.48, 2,882.82 and 1,205.16

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Solution

The fourth proportional to 2,089.48, 2,882.82 and 1,205.16 is: 1,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.48 : 2,882.82 = 1,205.16 : x
  2. Step 2: Convert to fraction form
    2,089.48/2,882.82 = 1,205.16/x
  3. Step 3: Cross multiply
    2,089.48x = 2,882.82 × 1,205.16
  4. Step 4: Simplify right side
    2,089.48x = 3,474,259.35
  5. Step 5: Solve for x
    x = 3,474,259.35/2,089.48
  6. Step 6: Final answer
    x = 1,662.74

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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.