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Finding the Fourth Proportional to 2,564.87, 3,539.43 and 1,621.17

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Solution

The fourth proportional to 2,564.87, 3,539.43 and 1,621.17 is: 2,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.87 : 3,539.43 = 1,621.17 : x
  2. Step 2: Convert to fraction form
    2,564.87/3,539.43 = 1,621.17/x
  3. Step 3: Cross multiply
    2,564.87x = 3,539.43 × 1,621.17
  4. Step 4: Simplify right side
    2,564.87x = 5,738,017.73
  5. Step 5: Solve for x
    x = 5,738,017.73/2,564.87
  6. Step 6: Final answer
    x = 2,237.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.