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Finding the Fourth Proportional to 2,531.70, 3,797.96 and 971.64

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Solution

The fourth proportional to 2,531.70, 3,797.96 and 971.64 is: 1,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.70 : 3,797.96 = 971.64 : x
  2. Step 2: Convert to fraction form
    2,531.70/3,797.96 = 971.64/x
  3. Step 3: Cross multiply
    2,531.70x = 3,797.96 × 971.64
  4. Step 4: Simplify right side
    2,531.70x = 3,690,245.00
  5. Step 5: Solve for x
    x = 3,690,245.00/2,531.70
  6. Step 6: Final answer
    x = 1,457.62

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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.