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Finding the Fourth Proportional to 2,164.54, 2,987.40 and 1,380.46

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Solution

The fourth proportional to 2,164.54, 2,987.40 and 1,380.46 is: 1,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.54 : 2,987.40 = 1,380.46 : x
  2. Step 2: Convert to fraction form
    2,164.54/2,987.40 = 1,380.46/x
  3. Step 3: Cross multiply
    2,164.54x = 2,987.40 × 1,380.46
  4. Step 4: Simplify right side
    2,164.54x = 4,123,986.20
  5. Step 5: Solve for x
    x = 4,123,986.20/2,164.54
  6. Step 6: Final answer
    x = 1,905.25

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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.