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Finding the Fourth Proportional to 1,783.25, 2,460.67 and 986.47

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Solution

The fourth proportional to 1,783.25, 2,460.67 and 986.47 is: 1,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.25 : 2,460.67 = 986.47 : x
  2. Step 2: Convert to fraction form
    1,783.25/2,460.67 = 986.47/x
  3. Step 3: Cross multiply
    1,783.25x = 2,460.67 × 986.47
  4. Step 4: Simplify right side
    1,783.25x = 2,427,359.90
  5. Step 5: Solve for x
    x = 2,427,359.90/1,783.25
  6. Step 6: Final answer
    x = 1,361.20

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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.