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Finding the Fourth Proportional to 2,005.86, 2,767.87 and 1,121.65

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Solution

The fourth proportional to 2,005.86, 2,767.87 and 1,121.65 is: 1,547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.86 : 2,767.87 = 1,121.65 : x
  2. Step 2: Convert to fraction form
    2,005.86/2,767.87 = 1,121.65/x
  3. Step 3: Cross multiply
    2,005.86x = 2,767.87 × 1,121.65
  4. Step 4: Simplify right side
    2,005.86x = 3,104,575.87
  5. Step 5: Solve for x
    x = 3,104,575.87/2,005.86
  6. Step 6: Final answer
    x = 1,547.75

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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.