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Finding the Fourth Proportional to 1,814.75, 2,504.36 and 986.75

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Solution

The fourth proportional to 1,814.75, 2,504.36 and 986.75 is: 1,361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.75 : 2,504.36 = 986.75 : x
  2. Step 2: Convert to fraction form
    1,814.75/2,504.36 = 986.75/x
  3. Step 3: Cross multiply
    1,814.75x = 2,504.36 × 986.75
  4. Step 4: Simplify right side
    1,814.75x = 2,471,172.30
  5. Step 5: Solve for x
    x = 2,471,172.30/1,814.75
  6. Step 6: Final answer
    x = 1,361.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.