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Finding the Fourth Proportional to 1,482.05, 2,045.23 and 892.62

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Solution

The fourth proportional to 1,482.05, 2,045.23 and 892.62 is: 1,231.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.05 : 2,045.23 = 892.62 : x
  2. Step 2: Convert to fraction form
    1,482.05/2,045.23 = 892.62/x
  3. Step 3: Cross multiply
    1,482.05x = 2,045.23 × 892.62
  4. Step 4: Simplify right side
    1,482.05x = 1,825,610.97
  5. Step 5: Solve for x
    x = 1,825,610.97/1,482.05
  6. Step 6: Final answer
    x = 1,231.81

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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.