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Finding the Fourth Proportional to 3,027.72, 4,178.64 and 1,848.54

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Solution

The fourth proportional to 3,027.72, 4,178.64 and 1,848.54 is: 2,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.72 : 4,178.64 = 1,848.54 : x
  2. Step 2: Convert to fraction form
    3,027.72/4,178.64 = 1,848.54/x
  3. Step 3: Cross multiply
    3,027.72x = 4,178.64 × 1,848.54
  4. Step 4: Simplify right side
    3,027.72x = 7,724,383.19
  5. Step 5: Solve for x
    x = 7,724,383.19/3,027.72
  6. Step 6: Final answer
    x = 2,551.22

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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.