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Finding the Fourth Proportional to 1,219.88, 1,830.12 and 354.20

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Solution

The fourth proportional to 1,219.88, 1,830.12 and 354.20 is: 531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.88 : 1,830.12 = 354.20 : x
  2. Step 2: Convert to fraction form
    1,219.88/1,830.12 = 354.20/x
  3. Step 3: Cross multiply
    1,219.88x = 1,830.12 × 354.20
  4. Step 4: Simplify right side
    1,219.88x = 648,228.50
  5. Step 5: Solve for x
    x = 648,228.50/1,219.88
  6. Step 6: Final answer
    x = 531.39

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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.