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Finding the Fourth Proportional to 2,825.81, 4,235.76 and 950.30

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Solution

The fourth proportional to 2,825.81, 4,235.76 and 950.30 is: 1,424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.81 : 4,235.76 = 950.30 : x
  2. Step 2: Convert to fraction form
    2,825.81/4,235.76 = 950.30/x
  3. Step 3: Cross multiply
    2,825.81x = 4,235.76 × 950.30
  4. Step 4: Simplify right side
    2,825.81x = 4,025,256.88
  5. Step 5: Solve for x
    x = 4,025,256.88/2,825.81
  6. Step 6: Final answer
    x = 1,424.46

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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.