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Finding the Fourth Proportional to 2,840.49, 4,261.49 and 2,023.94

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Solution

The fourth proportional to 2,840.49, 4,261.49 and 2,023.94 is: 3,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.49 : 4,261.49 = 2,023.94 : x
  2. Step 2: Convert to fraction form
    2,840.49/4,261.49 = 2,023.94/x
  3. Step 3: Cross multiply
    2,840.49x = 4,261.49 × 2,023.94
  4. Step 4: Simplify right side
    2,840.49x = 8,624,968.64
  5. Step 5: Solve for x
    x = 8,624,968.64/2,840.49
  6. Step 6: Final answer
    x = 3,036.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.