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Finding the Fourth Proportional to 1,638.44, 2,258.88 and 1,357.64

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Solution

The fourth proportional to 1,638.44, 2,258.88 and 1,357.64 is: 1,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.44 : 2,258.88 = 1,357.64 : x
  2. Step 2: Convert to fraction form
    1,638.44/2,258.88 = 1,357.64/x
  3. Step 3: Cross multiply
    1,638.44x = 2,258.88 × 1,357.64
  4. Step 4: Simplify right side
    1,638.44x = 3,066,745.84
  5. Step 5: Solve for x
    x = 3,066,745.84/1,638.44
  6. Step 6: Final answer
    x = 1,871.75

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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.