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Finding the Fourth Proportional to 2,821.67, 3,894.75 and 1,827.01

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Solution

The fourth proportional to 2,821.67, 3,894.75 and 1,827.01 is: 2,521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.67 : 3,894.75 = 1,827.01 : x
  2. Step 2: Convert to fraction form
    2,821.67/3,894.75 = 1,827.01/x
  3. Step 3: Cross multiply
    2,821.67x = 3,894.75 × 1,827.01
  4. Step 4: Simplify right side
    2,821.67x = 7,115,718.59
  5. Step 5: Solve for x
    x = 7,115,718.59/2,821.67
  6. Step 6: Final answer
    x = 2,521.82

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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.