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Finding the Fourth Proportional to 1,814.24, 2,720 and 839.76

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Solution

The fourth proportional to 1,814.24, 2,720 and 839.76 is: 1,259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.24 : 2,720 = 839.76 : x
  2. Step 2: Convert to fraction form
    1,814.24/2,720 = 839.76/x
  3. Step 3: Cross multiply
    1,814.24x = 2,720 × 839.76
  4. Step 4: Simplify right side
    1,814.24x = 2,284,147.20
  5. Step 5: Solve for x
    x = 2,284,147.20/1,814.24
  6. Step 6: Final answer
    x = 1,259.01

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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.