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Finding the Fourth Proportional to 1,462.11, 2,191.71 and 729.45

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Solution

The fourth proportional to 1,462.11, 2,191.71 and 729.45 is: 1,093.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.11 : 2,191.71 = 729.45 : x
  2. Step 2: Convert to fraction form
    1,462.11/2,191.71 = 729.45/x
  3. Step 3: Cross multiply
    1,462.11x = 2,191.71 × 729.45
  4. Step 4: Simplify right side
    1,462.11x = 1,598,742.86
  5. Step 5: Solve for x
    x = 1,598,742.86/1,462.11
  6. Step 6: Final answer
    x = 1,093.45

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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.