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Finding the Fourth Proportional to 1,932.81, 2,897.23 and 762.34

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Solution

The fourth proportional to 1,932.81, 2,897.23 and 762.34 is: 1,142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.81 : 2,897.23 = 762.34 : x
  2. Step 2: Convert to fraction form
    1,932.81/2,897.23 = 762.34/x
  3. Step 3: Cross multiply
    1,932.81x = 2,897.23 × 762.34
  4. Step 4: Simplify right side
    1,932.81x = 2,208,674.32
  5. Step 5: Solve for x
    x = 2,208,674.32/1,932.81
  6. Step 6: Final answer
    x = 1,142.73

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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.