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Finding the Fourth Proportional to 1,340.55, 1,850.75 and 986.19

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Solution

The fourth proportional to 1,340.55, 1,850.75 and 986.19 is: 1,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.55 : 1,850.75 = 986.19 : x
  2. Step 2: Convert to fraction form
    1,340.55/1,850.75 = 986.19/x
  3. Step 3: Cross multiply
    1,340.55x = 1,850.75 × 986.19
  4. Step 4: Simplify right side
    1,340.55x = 1,825,186.21
  5. Step 5: Solve for x
    x = 1,825,186.21/1,340.55
  6. Step 6: Final answer
    x = 1,361.52

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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.