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Finding the Fourth Proportional to 2,946.95, 4,066.80 and 1,620.68

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Solution

The fourth proportional to 2,946.95, 4,066.80 and 1,620.68 is: 2,236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.95 : 4,066.80 = 1,620.68 : x
  2. Step 2: Convert to fraction form
    2,946.95/4,066.80 = 1,620.68/x
  3. Step 3: Cross multiply
    2,946.95x = 4,066.80 × 1,620.68
  4. Step 4: Simplify right side
    2,946.95x = 6,590,981.42
  5. Step 5: Solve for x
    x = 6,590,981.42/2,946.95
  6. Step 6: Final answer
    x = 2,236.54

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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.