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Finding the Fourth Proportional to 1,783.16, 2,460.65 and 986.44

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Solution

The fourth proportional to 1,783.16, 2,460.65 and 986.44 is: 1,361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.16 : 2,460.65 = 986.44 : x
  2. Step 2: Convert to fraction form
    1,783.16/2,460.65 = 986.44/x
  3. Step 3: Cross multiply
    1,783.16x = 2,460.65 × 986.44
  4. Step 4: Simplify right side
    1,783.16x = 2,427,279.90
  5. Step 5: Solve for x
    x = 2,427,279.90/1,783.16
  6. Step 6: Final answer
    x = 1,361.23

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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.