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Finding the Fourth Proportional to 2,698.64, 3,723.63 and 1,754.54

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Solution

The fourth proportional to 2,698.64, 3,723.63 and 1,754.54 is: 2,420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.64 : 3,723.63 = 1,754.54 : x
  2. Step 2: Convert to fraction form
    2,698.64/3,723.63 = 1,754.54/x
  3. Step 3: Cross multiply
    2,698.64x = 3,723.63 × 1,754.54
  4. Step 4: Simplify right side
    2,698.64x = 6,533,257.78
  5. Step 5: Solve for x
    x = 6,533,257.78/2,698.64
  6. Step 6: Final answer
    x = 2,420.94

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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.