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Finding the Fourth Proportional to 2,686.62, 4,021.97 and 2,405.06

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Solution

The fourth proportional to 2,686.62, 4,021.97 and 2,405.06 is: 3,600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.62 : 4,021.97 = 2,405.06 : x
  2. Step 2: Convert to fraction form
    2,686.62/4,021.97 = 2,405.06/x
  3. Step 3: Cross multiply
    2,686.62x = 4,021.97 × 2,405.06
  4. Step 4: Simplify right side
    2,686.62x = 9,673,047.03
  5. Step 5: Solve for x
    x = 9,673,047.03/2,686.62
  6. Step 6: Final answer
    x = 3,600.45

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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.