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Finding the Fourth Proportional to 2,165.60, 2,987.92 and 1,419.44

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Solution

The fourth proportional to 2,165.60, 2,987.92 and 1,419.44 is: 1,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.60 : 2,987.92 = 1,419.44 : x
  2. Step 2: Convert to fraction form
    2,165.60/2,987.92 = 1,419.44/x
  3. Step 3: Cross multiply
    2,165.60x = 2,987.92 × 1,419.44
  4. Step 4: Simplify right side
    2,165.60x = 4,241,173.16
  5. Step 5: Solve for x
    x = 4,241,173.16/2,165.60
  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.