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Finding the Fourth Proportional to 1,662.33, 2,493.49 and 1,560.84

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Solution

The fourth proportional to 1,662.33, 2,493.49 and 1,560.84 is: 2,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.33 : 2,493.49 = 1,560.84 : x
  2. Step 2: Convert to fraction form
    1,662.33/2,493.49 = 1,560.84/x
  3. Step 3: Cross multiply
    1,662.33x = 2,493.49 × 1,560.84
  4. Step 4: Simplify right side
    1,662.33x = 3,891,938.93
  5. Step 5: Solve for x
    x = 3,891,938.93/1,662.33
  6. Step 6: Final answer
    x = 2,341.26

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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.