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Finding the Fourth Proportional to 1,986.06, 2,740.05 and 1,199.82

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Solution

The fourth proportional to 1,986.06, 2,740.05 and 1,199.82 is: 1,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.06 : 2,740.05 = 1,199.82 : x
  2. Step 2: Convert to fraction form
    1,986.06/2,740.05 = 1,199.82/x
  3. Step 3: Cross multiply
    1,986.06x = 2,740.05 × 1,199.82
  4. Step 4: Simplify right side
    1,986.06x = 3,287,566.79
  5. Step 5: Solve for x
    x = 3,287,566.79/1,986.06
  6. Step 6: Final answer
    x = 1,655.32

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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.