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Finding the Fourth Proportional to 2,344.25, 3,518.01 and 1,729.55

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Solution

The fourth proportional to 2,344.25, 3,518.01 and 1,729.55 is: 2,595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.25 : 3,518.01 = 1,729.55 : x
  2. Step 2: Convert to fraction form
    2,344.25/3,518.01 = 1,729.55/x
  3. Step 3: Cross multiply
    2,344.25x = 3,518.01 × 1,729.55
  4. Step 4: Simplify right side
    2,344.25x = 6,084,556.61
  5. Step 5: Solve for x
    x = 6,084,556.61/2,344.25
  6. Step 6: Final answer
    x = 2,595.53

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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.