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Finding the Fourth Proportional to 2,944, 4,062.63 and 1,617.67

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Solution

The fourth proportional to 2,944, 4,062.63 and 1,617.67 is: 2,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944 : 4,062.63 = 1,617.67 : x
  2. Step 2: Convert to fraction form
    2,944/4,062.63 = 1,617.67/x
  3. Step 3: Cross multiply
    2,944x = 4,062.63 × 1,617.67
  4. Step 4: Simplify right side
    2,944x = 6,571,994.67
  5. Step 5: Solve for x
    x = 6,571,994.67/2,944
  6. Step 6: Final answer
    x = 2,232.34

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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.