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Finding the Fourth Proportional to 1,817.17, 2,723.36 and 830.12

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Solution

The fourth proportional to 1,817.17, 2,723.36 and 830.12 is: 1,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.17 : 2,723.36 = 830.12 : x
  2. Step 2: Convert to fraction form
    1,817.17/2,723.36 = 830.12/x
  3. Step 3: Cross multiply
    1,817.17x = 2,723.36 × 830.12
  4. Step 4: Simplify right side
    1,817.17x = 2,260,697.84
  5. Step 5: Solve for x
    x = 2,260,697.84/1,817.17
  6. Step 6: Final answer
    x = 1,244.08

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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.