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Finding the Fourth Proportional to 2,577.98, 3,867.02 and 630.20

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Solution

The fourth proportional to 2,577.98, 3,867.02 and 630.20 is: 945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.98 : 3,867.02 = 630.20 : x
  2. Step 2: Convert to fraction form
    2,577.98/3,867.02 = 630.20/x
  3. Step 3: Cross multiply
    2,577.98x = 3,867.02 × 630.20
  4. Step 4: Simplify right side
    2,577.98x = 2,436,978.24
  5. Step 5: Solve for x
    x = 2,436,978.24/2,577.98
  6. Step 6: Final answer
    x = 945.31

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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.