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Finding the Fourth Proportional to 1,577.82, 2,367.90 and 653.97

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Solution

The fourth proportional to 1,577.82, 2,367.90 and 653.97 is: 981.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.82 : 2,367.90 = 653.97 : x
  2. Step 2: Convert to fraction form
    1,577.82/2,367.90 = 653.97/x
  3. Step 3: Cross multiply
    1,577.82x = 2,367.90 × 653.97
  4. Step 4: Simplify right side
    1,577.82x = 1,548,535.56
  5. Step 5: Solve for x
    x = 1,548,535.56/1,577.82
  6. Step 6: Final answer
    x = 981.44

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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.