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Finding the Fourth Proportional to 2,032.94, 3,050.33 and 936.72

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Solution

The fourth proportional to 2,032.94, 3,050.33 and 936.72 is: 1,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.94 : 3,050.33 = 936.72 : x
  2. Step 2: Convert to fraction form
    2,032.94/3,050.33 = 936.72/x
  3. Step 3: Cross multiply
    2,032.94x = 3,050.33 × 936.72
  4. Step 4: Simplify right side
    2,032.94x = 2,857,300.43
  5. Step 5: Solve for x
    x = 2,857,300.43/2,032.94
  6. Step 6: Final answer
    x = 1,405.50

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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.