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Finding the Fourth Proportional to 1,986.34, 2,962.01 and 1,847.82

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Solution

The fourth proportional to 1,986.34, 2,962.01 and 1,847.82 is: 2,755.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.34 : 2,962.01 = 1,847.82 : x
  2. Step 2: Convert to fraction form
    1,986.34/2,962.01 = 1,847.82/x
  3. Step 3: Cross multiply
    1,986.34x = 2,962.01 × 1,847.82
  4. Step 4: Simplify right side
    1,986.34x = 5,473,261.32
  5. Step 5: Solve for x
    x = 5,473,261.32/1,986.34
  6. Step 6: Final answer
    x = 2,755.45

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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.