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Finding the Fourth Proportional to 1,980.86, 2,968.52 and 1,686.83

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Solution

The fourth proportional to 1,980.86, 2,968.52 and 1,686.83 is: 2,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.86 : 2,968.52 = 1,686.83 : x
  2. Step 2: Convert to fraction form
    1,980.86/2,968.52 = 1,686.83/x
  3. Step 3: Cross multiply
    1,980.86x = 2,968.52 × 1,686.83
  4. Step 4: Simplify right side
    1,980.86x = 5,007,365.31
  5. Step 5: Solve for x
    x = 5,007,365.31/1,980.86
  6. Step 6: Final answer
    x = 2,527.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.