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Finding the Fourth Proportional to 1,460.21, 2,189.18 and 729.41

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Solution

The fourth proportional to 1,460.21, 2,189.18 and 729.41 is: 1,093.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.21 : 2,189.18 = 729.41 : x
  2. Step 2: Convert to fraction form
    1,460.21/2,189.18 = 729.41/x
  3. Step 3: Cross multiply
    1,460.21x = 2,189.18 × 729.41
  4. Step 4: Simplify right side
    1,460.21x = 1,596,806.14
  5. Step 5: Solve for x
    x = 1,596,806.14/1,460.21
  6. Step 6: Final answer
    x = 1,093.55

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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.