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Finding the Fourth Proportional to 2,684.60, 3,706.48 and 2,188.44

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Solution

The fourth proportional to 2,684.60, 3,706.48 and 2,188.44 is: 3,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.60 : 3,706.48 = 2,188.44 : x
  2. Step 2: Convert to fraction form
    2,684.60/3,706.48 = 2,188.44/x
  3. Step 3: Cross multiply
    2,684.60x = 3,706.48 × 2,188.44
  4. Step 4: Simplify right side
    2,684.60x = 8,111,409.09
  5. Step 5: Solve for x
    x = 8,111,409.09/2,684.60
  6. Step 6: Final answer
    x = 3,021.46

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1.5x scale

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.