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Finding the Fourth Proportional to 2,731.44, 4,096.80 and 783.84

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Solution

The fourth proportional to 2,731.44, 4,096.80 and 783.84 is: 1,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.44 : 4,096.80 = 783.84 : x
  2. Step 2: Convert to fraction form
    2,731.44/4,096.80 = 783.84/x
  3. Step 3: Cross multiply
    2,731.44x = 4,096.80 × 783.84
  4. Step 4: Simplify right side
    2,731.44x = 3,211,235.71
  5. Step 5: Solve for x
    x = 3,211,235.71/2,731.44
  6. Step 6: Final answer
    x = 1,175.66

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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.