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Finding the Fourth Proportional to 2,686.28, 3,704.28 and 1,741.02

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Solution

The fourth proportional to 2,686.28, 3,704.28 and 1,741.02 is: 2,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.28 : 3,704.28 = 1,741.02 : x
  2. Step 2: Convert to fraction form
    2,686.28/3,704.28 = 1,741.02/x
  3. Step 3: Cross multiply
    2,686.28x = 3,704.28 × 1,741.02
  4. Step 4: Simplify right side
    2,686.28x = 6,449,225.57
  5. Step 5: Solve for x
    x = 6,449,225.57/2,686.28
  6. Step 6: Final answer
    x = 2,400.80

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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.