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Finding the Fourth Proportional to 1,638.67, 2,457.09 and 542.43

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Solution

The fourth proportional to 1,638.67, 2,457.09 and 542.43 is: 813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.67 : 2,457.09 = 542.43 : x
  2. Step 2: Convert to fraction form
    1,638.67/2,457.09 = 542.43/x
  3. Step 3: Cross multiply
    1,638.67x = 2,457.09 × 542.43
  4. Step 4: Simplify right side
    1,638.67x = 1,332,808.54
  5. Step 5: Solve for x
    x = 1,332,808.54/1,638.67
  6. Step 6: Final answer
    x = 813.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.