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Finding the Fourth Proportional to 1,457.56, 2,183.46 and 943

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Solution

The fourth proportional to 1,457.56, 2,183.46 and 943 is: 1,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.56 : 2,183.46 = 943 : x
  2. Step 2: Convert to fraction form
    1,457.56/2,183.46 = 943/x
  3. Step 3: Cross multiply
    1,457.56x = 2,183.46 × 943
  4. Step 4: Simplify right side
    1,457.56x = 2,059,002.78
  5. Step 5: Solve for x
    x = 2,059,002.78/1,457.56
  6. Step 6: Final answer
    x = 1,412.64

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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.