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Finding the Fourth Proportional to 3,144, 4,338.74 and 1,746.76

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Solution

The fourth proportional to 3,144, 4,338.74 and 1,746.76 is: 2,410.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144 : 4,338.74 = 1,746.76 : x
  2. Step 2: Convert to fraction form
    3,144/4,338.74 = 1,746.76/x
  3. Step 3: Cross multiply
    3,144x = 4,338.74 × 1,746.76
  4. Step 4: Simplify right side
    3,144x = 7,578,737.48
  5. Step 5: Solve for x
    x = 7,578,737.48/3,144
  6. Step 6: Final answer
    x = 2,410.54

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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.