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Finding the Fourth Proportional to 2,768.24, 3,820.59 and 1,720.64

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Solution

The fourth proportional to 2,768.24, 3,820.59 and 1,720.64 is: 2,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.24 : 3,820.59 = 1,720.64 : x
  2. Step 2: Convert to fraction form
    2,768.24/3,820.59 = 1,720.64/x
  3. Step 3: Cross multiply
    2,768.24x = 3,820.59 × 1,720.64
  4. Step 4: Simplify right side
    2,768.24x = 6,573,859.98
  5. Step 5: Solve for x
    x = 6,573,859.98/2,768.24
  6. Step 6: Final answer
    x = 2,374.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.