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Finding the Fourth Proportional to 1,638.48, 2,261.02 and 892.42

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Solution

The fourth proportional to 1,638.48, 2,261.02 and 892.42 is: 1,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.48 : 2,261.02 = 892.42 : x
  2. Step 2: Convert to fraction form
    1,638.48/2,261.02 = 892.42/x
  3. Step 3: Cross multiply
    1,638.48x = 2,261.02 × 892.42
  4. Step 4: Simplify right side
    1,638.48x = 2,017,779.47
  5. Step 5: Solve for x
    x = 2,017,779.47/1,638.48
  6. Step 6: Final answer
    x = 1,231.49

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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.