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Finding the Fourth Proportional to 1,826.79, 2,738.54 and 656.52

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Solution

The fourth proportional to 1,826.79, 2,738.54 and 656.52 is: 984.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.79 : 2,738.54 = 656.52 : x
  2. Step 2: Convert to fraction form
    1,826.79/2,738.54 = 656.52/x
  3. Step 3: Cross multiply
    1,826.79x = 2,738.54 × 656.52
  4. Step 4: Simplify right side
    1,826.79x = 1,797,913.06
  5. Step 5: Solve for x
    x = 1,797,913.06/1,826.79
  6. Step 6: Final answer
    x = 984.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.