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Finding the Fourth Proportional to 2,164.46, 2,986.17 and 1,773.14

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Solution

The fourth proportional to 2,164.46, 2,986.17 and 1,773.14 is: 2,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.46 : 2,986.17 = 1,773.14 : x
  2. Step 2: Convert to fraction form
    2,164.46/2,986.17 = 1,773.14/x
  3. Step 3: Cross multiply
    2,164.46x = 2,986.17 × 1,773.14
  4. Step 4: Simplify right side
    2,164.46x = 5,294,897.47
  5. Step 5: Solve for x
    x = 5,294,897.47/2,164.46
  6. Step 6: Final answer
    x = 2,446.29

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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.