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Finding the Fourth Proportional to 2,690.56, 4,035.84 and 957.97

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Solution

The fourth proportional to 2,690.56, 4,035.84 and 957.97 is: 1,436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.56 : 4,035.84 = 957.97 : x
  2. Step 2: Convert to fraction form
    2,690.56/4,035.84 = 957.97/x
  3. Step 3: Cross multiply
    2,690.56x = 4,035.84 × 957.97
  4. Step 4: Simplify right side
    2,690.56x = 3,866,213.64
  5. Step 5: Solve for x
    x = 3,866,213.64/2,690.56
  6. Step 6: Final answer
    x = 1,436.96

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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.