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Finding the Fourth Proportional to 1,566.24, 2,161.08 and 936.60

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Solution

The fourth proportional to 1,566.24, 2,161.08 and 936.60 is: 1,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.24 : 2,161.08 = 936.60 : x
  2. Step 2: Convert to fraction form
    1,566.24/2,161.08 = 936.60/x
  3. Step 3: Cross multiply
    1,566.24x = 2,161.08 × 936.60
  4. Step 4: Simplify right side
    1,566.24x = 2,024,067.53
  5. Step 5: Solve for x
    x = 2,024,067.53/1,566.24
  6. Step 6: Final answer
    x = 1,292.31

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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.