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Finding the Fourth Proportional to 1,567.72, 2,163.72 and 1,194.08

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Solution

The fourth proportional to 1,567.72, 2,163.72 and 1,194.08 is: 1,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.72 : 2,163.72 = 1,194.08 : x
  2. Step 2: Convert to fraction form
    1,567.72/2,163.72 = 1,194.08/x
  3. Step 3: Cross multiply
    1,567.72x = 2,163.72 × 1,194.08
  4. Step 4: Simplify right side
    1,567.72x = 2,583,654.78
  5. Step 5: Solve for x
    x = 2,583,654.78/1,567.72
  6. Step 6: Final answer
    x = 1,648.03

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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.