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Finding the Fourth Proportional to 1,842.62, 2,543.08 and 1,096.64

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Solution

The fourth proportional to 1,842.62, 2,543.08 and 1,096.64 is: 1,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.62 : 2,543.08 = 1,096.64 : x
  2. Step 2: Convert to fraction form
    1,842.62/2,543.08 = 1,096.64/x
  3. Step 3: Cross multiply
    1,842.62x = 2,543.08 × 1,096.64
  4. Step 4: Simplify right side
    1,842.62x = 2,788,846.87
  5. Step 5: Solve for x
    x = 2,788,846.87/1,842.62
  6. Step 6: Final answer
    x = 1,513.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.