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Finding the Fourth Proportional to 2,783, 3,840.78 and 1,541.24

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Solution

The fourth proportional to 2,783, 3,840.78 and 1,541.24 is: 2,127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783 : 3,840.78 = 1,541.24 : x
  2. Step 2: Convert to fraction form
    2,783/3,840.78 = 1,541.24/x
  3. Step 3: Cross multiply
    2,783x = 3,840.78 × 1,541.24
  4. Step 4: Simplify right side
    2,783x = 5,919,563.77
  5. Step 5: Solve for x
    x = 5,919,563.77/2,783
  6. Step 6: Final answer
    x = 2,127.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.