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Finding the Fourth Proportional to 1,884.96, 2,827.62 and 730.80

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Solution

The fourth proportional to 1,884.96, 2,827.62 and 730.80 is: 1,096.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.96 : 2,827.62 = 730.80 : x
  2. Step 2: Convert to fraction form
    1,884.96/2,827.62 = 730.80/x
  3. Step 3: Cross multiply
    1,884.96x = 2,827.62 × 730.80
  4. Step 4: Simplify right side
    1,884.96x = 2,066,424.70
  5. Step 5: Solve for x
    x = 2,066,424.70/1,884.96
  6. Step 6: Final answer
    x = 1,096.27

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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.