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Finding the Fourth Proportional to 2,946.97, 4,066.72 and 1,620.67

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Solution

The fourth proportional to 2,946.97, 4,066.72 and 1,620.67 is: 2,236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.97 : 4,066.72 = 1,620.67 : x
  2. Step 2: Convert to fraction form
    2,946.97/4,066.72 = 1,620.67/x
  3. Step 3: Cross multiply
    2,946.97x = 4,066.72 × 1,620.67
  4. Step 4: Simplify right side
    2,946.97x = 6,590,811.10
  5. Step 5: Solve for x
    x = 6,590,811.10/2,946.97
  6. Step 6: Final answer
    x = 2,236.47

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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.