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Finding the Fourth Proportional to 2,164.14, 2,987.46 and 1,379.22

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Solution

The fourth proportional to 2,164.14, 2,987.46 and 1,379.22 is: 1,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.14 : 2,987.46 = 1,379.22 : x
  2. Step 2: Convert to fraction form
    2,164.14/2,987.46 = 1,379.22/x
  3. Step 3: Cross multiply
    2,164.14x = 2,987.46 × 1,379.22
  4. Step 4: Simplify right side
    2,164.14x = 4,120,364.58
  5. Step 5: Solve for x
    x = 4,120,364.58/2,164.14
  6. Step 6: Final answer
    x = 1,903.93

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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.