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Finding the Fourth Proportional to 2,431.29, 3,647.28 and 950.24

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Solution

The fourth proportional to 2,431.29, 3,647.28 and 950.24 is: 1,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.29 : 3,647.28 = 950.24 : x
  2. Step 2: Convert to fraction form
    2,431.29/3,647.28 = 950.24/x
  3. Step 3: Cross multiply
    2,431.29x = 3,647.28 × 950.24
  4. Step 4: Simplify right side
    2,431.29x = 3,465,803.81
  5. Step 5: Solve for x
    x = 3,465,803.81/2,431.29
  6. Step 6: Final answer
    x = 1,425.50

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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.