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Finding the Fourth Proportional to 2,504.92, 3,456.76 and 1,385.77

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Solution

The fourth proportional to 2,504.92, 3,456.76 and 1,385.77 is: 1,912.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.92 : 3,456.76 = 1,385.77 : x
  2. Step 2: Convert to fraction form
    2,504.92/3,456.76 = 1,385.77/x
  3. Step 3: Cross multiply
    2,504.92x = 3,456.76 × 1,385.77
  4. Step 4: Simplify right side
    2,504.92x = 4,790,274.31
  5. Step 5: Solve for x
    x = 4,790,274.31/2,504.92
  6. Step 6: Final answer
    x = 1,912.35

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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.