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Finding the Fourth Proportional to 2,677.66, 4,016.48 and 729.86

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Solution

The fourth proportional to 2,677.66, 4,016.48 and 729.86 is: 1,094.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.66 : 4,016.48 = 729.86 : x
  2. Step 2: Convert to fraction form
    2,677.66/4,016.48 = 729.86/x
  3. Step 3: Cross multiply
    2,677.66x = 4,016.48 × 729.86
  4. Step 4: Simplify right side
    2,677.66x = 2,931,468.09
  5. Step 5: Solve for x
    x = 2,931,468.09/2,677.66
  6. Step 6: Final answer
    x = 1,094.79

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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.