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Finding the Fourth Proportional to 1,213.10, 1,819.65 and 347.41

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Solution

The fourth proportional to 1,213.10, 1,819.65 and 347.41 is: 521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.10 : 1,819.65 = 347.41 : x
  2. Step 2: Convert to fraction form
    1,213.10/1,819.65 = 347.41/x
  3. Step 3: Cross multiply
    1,213.10x = 1,819.65 × 347.41
  4. Step 4: Simplify right side
    1,213.10x = 632,172.81
  5. Step 5: Solve for x
    x = 632,172.81/1,213.10
  6. Step 6: Final answer
    x = 521.12

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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.