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Finding the Fourth Proportional to 2,134.94, 2,946.56 and 1,327.77

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Solution

The fourth proportional to 2,134.94, 2,946.56 and 1,327.77 is: 1,832.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.94 : 2,946.56 = 1,327.77 : x
  2. Step 2: Convert to fraction form
    2,134.94/2,946.56 = 1,327.77/x
  3. Step 3: Cross multiply
    2,134.94x = 2,946.56 × 1,327.77
  4. Step 4: Simplify right side
    2,134.94x = 3,912,347.33
  5. Step 5: Solve for x
    x = 3,912,347.33/2,134.94
  6. Step 6: Final answer
    x = 1,832.54

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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.