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Finding the Fourth Proportional to 2,146.76, 3,196.20 and 2,120.84

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Solution

The fourth proportional to 2,146.76, 3,196.20 and 2,120.84 is: 3,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.76 : 3,196.20 = 2,120.84 : x
  2. Step 2: Convert to fraction form
    2,146.76/3,196.20 = 2,120.84/x
  3. Step 3: Cross multiply
    2,146.76x = 3,196.20 × 2,120.84
  4. Step 4: Simplify right side
    2,146.76x = 6,778,628.81
  5. Step 5: Solve for x
    x = 6,778,628.81/2,146.76
  6. Step 6: Final answer
    x = 3,157.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.