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Finding the Fourth Proportional to 2,005.03, 2,767.84 and 1,323.65

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Solution

The fourth proportional to 2,005.03, 2,767.84 and 1,323.65 is: 1,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.03 : 2,767.84 = 1,323.65 : x
  2. Step 2: Convert to fraction form
    2,005.03/2,767.84 = 1,323.65/x
  3. Step 3: Cross multiply
    2,005.03x = 2,767.84 × 1,323.65
  4. Step 4: Simplify right side
    2,005.03x = 3,663,640.01
  5. Step 5: Solve for x
    x = 3,663,640.01/2,005.03
  6. Step 6: Final answer
    x = 1,827.22

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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.