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Finding the Fourth Proportional to 2,686.21, 3,706.64 and 1,567.42

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Solution

The fourth proportional to 2,686.21, 3,706.64 and 1,567.42 is: 2,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.21 : 3,706.64 = 1,567.42 : x
  2. Step 2: Convert to fraction form
    2,686.21/3,706.64 = 1,567.42/x
  3. Step 3: Cross multiply
    2,686.21x = 3,706.64 × 1,567.42
  4. Step 4: Simplify right side
    2,686.21x = 5,809,844.57
  5. Step 5: Solve for x
    x = 5,809,844.57/2,686.21
  6. Step 6: Final answer
    x = 2,162.84

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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.