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Finding the Fourth Proportional to 2,833.84, 3,902.88 and 2,440.72

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Solution

The fourth proportional to 2,833.84, 3,902.88 and 2,440.72 is: 3,361.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.84 : 3,902.88 = 2,440.72 : x
  2. Step 2: Convert to fraction form
    2,833.84/3,902.88 = 2,440.72/x
  3. Step 3: Cross multiply
    2,833.84x = 3,902.88 × 2,440.72
  4. Step 4: Simplify right side
    2,833.84x = 9,525,837.27
  5. Step 5: Solve for x
    x = 9,525,837.27/2,833.84
  6. Step 6: Final answer
    x = 3,361.46

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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.