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Finding the Fourth Proportional to 2,365.12, 3,548.52 and 2,107.12

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Solution

The fourth proportional to 2,365.12, 3,548.52 and 2,107.12 is: 3,161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.12 : 3,548.52 = 2,107.12 : x
  2. Step 2: Convert to fraction form
    2,365.12/3,548.52 = 2,107.12/x
  3. Step 3: Cross multiply
    2,365.12x = 3,548.52 × 2,107.12
  4. Step 4: Simplify right side
    2,365.12x = 7,477,157.46
  5. Step 5: Solve for x
    x = 7,477,157.46/2,365.12
  6. Step 6: Final answer
    x = 3,161.43

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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.