Home / 2,005.78-2,767.96-1,121.56

Finding the Fourth Proportional to 2,005.78, 2,767.96 and 1,121.56

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Solution

The fourth proportional to 2,005.78, 2,767.96 and 1,121.56 is: 1,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.78 : 2,767.96 = 1,121.56 : x
  2. Step 2: Convert to fraction form
    2,005.78/2,767.96 = 1,121.56/x
  3. Step 3: Cross multiply
    2,005.78x = 2,767.96 × 1,121.56
  4. Step 4: Simplify right side
    2,005.78x = 3,104,433.22
  5. Step 5: Solve for x
    x = 3,104,433.22/2,005.78
  6. Step 6: Final answer
    x = 1,547.74

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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.