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Finding the Fourth Proportional to 2,652.92, 3,661.38 and 1,604.78

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Solution

The fourth proportional to 2,652.92, 3,661.38 and 1,604.78 is: 2,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.92 : 3,661.38 = 1,604.78 : x
  2. Step 2: Convert to fraction form
    2,652.92/3,661.38 = 1,604.78/x
  3. Step 3: Cross multiply
    2,652.92x = 3,661.38 × 1,604.78
  4. Step 4: Simplify right side
    2,652.92x = 5,875,709.40
  5. Step 5: Solve for x
    x = 5,875,709.40/2,652.92
  6. Step 6: Final answer
    x = 2,214.81

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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.