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Finding the Fourth Proportional to 2,410.60, 3,616.80 and 950.77

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Solution

The fourth proportional to 2,410.60, 3,616.80 and 950.77 is: 1,426.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.60 : 3,616.80 = 950.77 : x
  2. Step 2: Convert to fraction form
    2,410.60/3,616.80 = 950.77/x
  3. Step 3: Cross multiply
    2,410.60x = 3,616.80 × 950.77
  4. Step 4: Simplify right side
    2,410.60x = 3,438,744.94
  5. Step 5: Solve for x
    x = 3,438,744.94/2,410.60
  6. Step 6: Final answer
    x = 1,426.51

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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.