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Finding the Fourth Proportional to 1,566.73, 2,153.14 and 1,286.47

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Solution

The fourth proportional to 1,566.73, 2,153.14 and 1,286.47 is: 1,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.73 : 2,153.14 = 1,286.47 : x
  2. Step 2: Convert to fraction form
    1,566.73/2,153.14 = 1,286.47/x
  3. Step 3: Cross multiply
    1,566.73x = 2,153.14 × 1,286.47
  4. Step 4: Simplify right side
    1,566.73x = 2,769,950.02
  5. Step 5: Solve for x
    x = 2,769,950.02/1,566.73
  6. Step 6: Final answer
    x = 1,767.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.