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Finding the Fourth Proportional to 1,912.36, 2,868.36 and 525.64

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Solution

The fourth proportional to 1,912.36, 2,868.36 and 525.64 is: 788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.36 : 2,868.36 = 525.64 : x
  2. Step 2: Convert to fraction form
    1,912.36/2,868.36 = 525.64/x
  3. Step 3: Cross multiply
    1,912.36x = 2,868.36 × 525.64
  4. Step 4: Simplify right side
    1,912.36x = 1,507,724.75
  5. Step 5: Solve for x
    x = 1,507,724.75/1,912.36
  6. Step 6: Final answer
    x = 788.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.