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Finding the Fourth Proportional to 1,744.35, 2,611.95 and 1,643.21

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Solution

The fourth proportional to 1,744.35, 2,611.95 and 1,643.21 is: 2,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.35 : 2,611.95 = 1,643.21 : x
  2. Step 2: Convert to fraction form
    1,744.35/2,611.95 = 1,643.21/x
  3. Step 3: Cross multiply
    1,744.35x = 2,611.95 × 1,643.21
  4. Step 4: Simplify right side
    1,744.35x = 4,291,969.30
  5. Step 5: Solve for x
    x = 4,291,969.30/1,744.35
  6. Step 6: Final answer
    x = 2,460.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.