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Finding the Fourth Proportional to 2,873.89, 3,963.69 and 1,864.49

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Solution

The fourth proportional to 2,873.89, 3,963.69 and 1,864.49 is: 2,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.89 : 3,963.69 = 1,864.49 : x
  2. Step 2: Convert to fraction form
    2,873.89/3,963.69 = 1,864.49/x
  3. Step 3: Cross multiply
    2,873.89x = 3,963.69 × 1,864.49
  4. Step 4: Simplify right side
    2,873.89x = 7,390,271.37
  5. Step 5: Solve for x
    x = 7,390,271.37/2,873.89
  6. Step 6: Final answer
    x = 2,571.52

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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.