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Finding the Fourth Proportional to 2,164.44, 2,984.58 and 1,377.48

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Solution

The fourth proportional to 2,164.44, 2,984.58 and 1,377.48 is: 1,899.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.44 : 2,984.58 = 1,377.48 : x
  2. Step 2: Convert to fraction form
    2,164.44/2,984.58 = 1,377.48/x
  3. Step 3: Cross multiply
    2,164.44x = 2,984.58 × 1,377.48
  4. Step 4: Simplify right side
    2,164.44x = 4,111,199.26
  5. Step 5: Solve for x
    x = 4,111,199.26/2,164.44
  6. Step 6: Final answer
    x = 1,899.43

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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.