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Finding the Fourth Proportional to 1,830.05, 2,745 and 1,213.58

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Solution

The fourth proportional to 1,830.05, 2,745 and 1,213.58 is: 1,820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.05 : 2,745 = 1,213.58 : x
  2. Step 2: Convert to fraction form
    1,830.05/2,745 = 1,213.58/x
  3. Step 3: Cross multiply
    1,830.05x = 2,745 × 1,213.58
  4. Step 4: Simplify right side
    1,830.05x = 3,331,263.38
  5. Step 5: Solve for x
    x = 3,331,263.38/1,830.05
  6. Step 6: Final answer
    x = 1,820.32

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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.