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Finding the Fourth Proportional to 3,448, 4,758.49 and 1,956.05

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Solution

The fourth proportional to 3,448, 4,758.49 and 1,956.05 is: 2,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448 : 4,758.49 = 1,956.05 : x
  2. Step 2: Convert to fraction form
    3,448/4,758.49 = 1,956.05/x
  3. Step 3: Cross multiply
    3,448x = 4,758.49 × 1,956.05
  4. Step 4: Simplify right side
    3,448x = 9,307,810.79
  5. Step 5: Solve for x
    x = 9,307,810.79/3,448
  6. Step 6: Final answer
    x = 2,699.48

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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.