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Finding the Fourth Proportional to 2,731.21, 4,096.05 and 782.89

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Solution

The fourth proportional to 2,731.21, 4,096.05 and 782.89 is: 1,174.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.21 : 4,096.05 = 782.89 : x
  2. Step 2: Convert to fraction form
    2,731.21/4,096.05 = 782.89/x
  3. Step 3: Cross multiply
    2,731.21x = 4,096.05 × 782.89
  4. Step 4: Simplify right side
    2,731.21x = 3,206,756.58
  5. Step 5: Solve for x
    x = 3,206,756.58/2,731.21
  6. Step 6: Final answer
    x = 1,174.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.