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Finding the Fourth Proportional to 2,686.74, 4,030.61 and 1,205.43

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Solution

The fourth proportional to 2,686.74, 4,030.61 and 1,205.43 is: 1,808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.74 : 4,030.61 = 1,205.43 : x
  2. Step 2: Convert to fraction form
    2,686.74/4,030.61 = 1,205.43/x
  3. Step 3: Cross multiply
    2,686.74x = 4,030.61 × 1,205.43
  4. Step 4: Simplify right side
    2,686.74x = 4,858,626.52
  5. Step 5: Solve for x
    x = 4,858,626.52/2,686.74
  6. Step 6: Final answer
    x = 1,808.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.