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Finding the Fourth Proportional to 2,116.83, 3,174.46 and 729.78

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Solution

The fourth proportional to 2,116.83, 3,174.46 and 729.78 is: 1,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.83 : 3,174.46 = 729.78 : x
  2. Step 2: Convert to fraction form
    2,116.83/3,174.46 = 729.78/x
  3. Step 3: Cross multiply
    2,116.83x = 3,174.46 × 729.78
  4. Step 4: Simplify right side
    2,116.83x = 2,316,657.42
  5. Step 5: Solve for x
    x = 2,316,657.42/2,116.83
  6. Step 6: Final answer
    x = 1,094.40

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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.