Home / 2,005.38-2,767.64-1,121.40

Finding the Fourth Proportional to 2,005.38, 2,767.64 and 1,121.40

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Solution

The fourth proportional to 2,005.38, 2,767.64 and 1,121.40 is: 1,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.38 : 2,767.64 = 1,121.40 : x
  2. Step 2: Convert to fraction form
    2,005.38/2,767.64 = 1,121.40/x
  3. Step 3: Cross multiply
    2,005.38x = 2,767.64 × 1,121.40
  4. Step 4: Simplify right side
    2,005.38x = 3,103,625.89
  5. Step 5: Solve for x
    x = 3,103,625.89/2,005.38
  6. Step 6: Final answer
    x = 1,547.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.