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Finding the Fourth Proportional to 2,684.22, 3,706.23 and 2,315.16

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Solution

The fourth proportional to 2,684.22, 3,706.23 and 2,315.16 is: 3,196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.22 : 3,706.23 = 2,315.16 : x
  2. Step 2: Convert to fraction form
    2,684.22/3,706.23 = 2,315.16/x
  3. Step 3: Cross multiply
    2,684.22x = 3,706.23 × 2,315.16
  4. Step 4: Simplify right side
    2,684.22x = 8,580,515.45
  5. Step 5: Solve for x
    x = 8,580,515.45/2,684.22
  6. Step 6: Final answer
    x = 3,196.65

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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.