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Finding the Fourth Proportional to 2,644.98, 3,967.52 and 1,002.30

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Solution

The fourth proportional to 2,644.98, 3,967.52 and 1,002.30 is: 1,503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.98 : 3,967.52 = 1,002.30 : x
  2. Step 2: Convert to fraction form
    2,644.98/3,967.52 = 1,002.30/x
  3. Step 3: Cross multiply
    2,644.98x = 3,967.52 × 1,002.30
  4. Step 4: Simplify right side
    2,644.98x = 3,976,640.28
  5. Step 5: Solve for x
    x = 3,976,640.28/2,644.98
  6. Step 6: Final answer
    x = 1,503.47

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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.