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Finding the Fourth Proportional to 1,457.25, 2,183.54 and 871.89

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Solution

The fourth proportional to 1,457.25, 2,183.54 and 871.89 is: 1,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.25 : 2,183.54 = 871.89 : x
  2. Step 2: Convert to fraction form
    1,457.25/2,183.54 = 871.89/x
  3. Step 3: Cross multiply
    1,457.25x = 2,183.54 × 871.89
  4. Step 4: Simplify right side
    1,457.25x = 1,903,802.33
  5. Step 5: Solve for x
    x = 1,903,802.33/1,457.25
  6. Step 6: Final answer
    x = 1,306.43

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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.