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Finding the Fourth Proportional to 2,517.67, 3,776.51 and 957.32

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Solution

The fourth proportional to 2,517.67, 3,776.51 and 957.32 is: 1,435.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.67 : 3,776.51 = 957.32 : x
  2. Step 2: Convert to fraction form
    2,517.67/3,776.51 = 957.32/x
  3. Step 3: Cross multiply
    2,517.67x = 3,776.51 × 957.32
  4. Step 4: Simplify right side
    2,517.67x = 3,615,309.37
  5. Step 5: Solve for x
    x = 3,615,309.37/2,517.67
  6. Step 6: Final answer
    x = 1,435.97

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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.