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Finding the Fourth Proportional to 1,933.44, 2,903.73 and 1,009.63

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Solution

The fourth proportional to 1,933.44, 2,903.73 and 1,009.63 is: 1,516.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.44 : 2,903.73 = 1,009.63 : x
  2. Step 2: Convert to fraction form
    1,933.44/2,903.73 = 1,009.63/x
  3. Step 3: Cross multiply
    1,933.44x = 2,903.73 × 1,009.63
  4. Step 4: Simplify right side
    1,933.44x = 2,931,692.92
  5. Step 5: Solve for x
    x = 2,931,692.92/1,933.44
  6. Step 6: Final answer
    x = 1,516.31

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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.