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Finding the Fourth Proportional to 2,638.27, 3,957.63 and 690.47

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Solution

The fourth proportional to 2,638.27, 3,957.63 and 690.47 is: 1,035.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.27 : 3,957.63 = 690.47 : x
  2. Step 2: Convert to fraction form
    2,638.27/3,957.63 = 690.47/x
  3. Step 3: Cross multiply
    2,638.27x = 3,957.63 × 690.47
  4. Step 4: Simplify right side
    2,638.27x = 2,732,617.25
  5. Step 5: Solve for x
    x = 2,732,617.25/2,638.27
  6. Step 6: Final answer
    x = 1,035.76

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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.