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Finding the Fourth Proportional to 2,164.43, 2,987.19 and 1,419.02

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Solution

The fourth proportional to 2,164.43, 2,987.19 and 1,419.02 is: 1,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.43 : 2,987.19 = 1,419.02 : x
  2. Step 2: Convert to fraction form
    2,164.43/2,987.19 = 1,419.02/x
  3. Step 3: Cross multiply
    2,164.43x = 2,987.19 × 1,419.02
  4. Step 4: Simplify right side
    2,164.43x = 4,238,882.35
  5. Step 5: Solve for x
    x = 4,238,882.35/2,164.43
  6. Step 6: Final answer
    x = 1,958.43

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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.