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Finding the Fourth Proportional to 2,670.39, 3,686.72 and 1,926.27

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Solution

The fourth proportional to 2,670.39, 3,686.72 and 1,926.27 is: 2,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.39 : 3,686.72 = 1,926.27 : x
  2. Step 2: Convert to fraction form
    2,670.39/3,686.72 = 1,926.27/x
  3. Step 3: Cross multiply
    2,670.39x = 3,686.72 × 1,926.27
  4. Step 4: Simplify right side
    2,670.39x = 7,101,608.50
  5. Step 5: Solve for x
    x = 7,101,608.50/2,670.39
  6. Step 6: Final answer
    x = 2,659.39

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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.