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Finding the Fourth Proportional to 2,367.12, 3,548.25 and 905.88

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Solution

The fourth proportional to 2,367.12, 3,548.25 and 905.88 is: 1,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.12 : 3,548.25 = 905.88 : x
  2. Step 2: Convert to fraction form
    2,367.12/3,548.25 = 905.88/x
  3. Step 3: Cross multiply
    2,367.12x = 3,548.25 × 905.88
  4. Step 4: Simplify right side
    2,367.12x = 3,214,288.71
  5. Step 5: Solve for x
    x = 3,214,288.71/2,367.12
  6. Step 6: Final answer
    x = 1,357.89

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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.