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Finding the Fourth Proportional to 1,933.42, 2,900.09 and 472.57

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Solution

The fourth proportional to 1,933.42, 2,900.09 and 472.57 is: 708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.42 : 2,900.09 = 472.57 : x
  2. Step 2: Convert to fraction form
    1,933.42/2,900.09 = 472.57/x
  3. Step 3: Cross multiply
    1,933.42x = 2,900.09 × 472.57
  4. Step 4: Simplify right side
    1,933.42x = 1,370,501.03
  5. Step 5: Solve for x
    x = 1,370,501.03/1,933.42
  6. Step 6: Final answer
    x = 708.85

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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.