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Finding the Fourth Proportional to 2,410.78, 3,616.33 and 950.96

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Solution

The fourth proportional to 2,410.78, 3,616.33 and 950.96 is: 1,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.78 : 3,616.33 = 950.96 : x
  2. Step 2: Convert to fraction form
    2,410.78/3,616.33 = 950.96/x
  3. Step 3: Cross multiply
    2,410.78x = 3,616.33 × 950.96
  4. Step 4: Simplify right side
    2,410.78x = 3,438,973.28
  5. Step 5: Solve for x
    x = 3,438,973.28/2,410.78
  6. Step 6: Final answer
    x = 1,426.50

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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.