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Finding the Fourth Proportional to 1,577.87, 2,365.43 and 1,348.23

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Solution

The fourth proportional to 1,577.87, 2,365.43 and 1,348.23 is: 2,021.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.87 : 2,365.43 = 1,348.23 : x
  2. Step 2: Convert to fraction form
    1,577.87/2,365.43 = 1,348.23/x
  3. Step 3: Cross multiply
    1,577.87x = 2,365.43 × 1,348.23
  4. Step 4: Simplify right side
    1,577.87x = 3,189,136.95
  5. Step 5: Solve for x
    x = 3,189,136.95/1,577.87
  6. Step 6: Final answer
    x = 2,021.17

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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.