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Finding the Fourth Proportional to 1,219.76, 1,829.74 and 354.14

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Solution

The fourth proportional to 1,219.76, 1,829.74 and 354.14 is: 531.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.76 : 1,829.74 = 354.14 : x
  2. Step 2: Convert to fraction form
    1,219.76/1,829.74 = 354.14/x
  3. Step 3: Cross multiply
    1,219.76x = 1,829.74 × 354.14
  4. Step 4: Simplify right side
    1,219.76x = 647,984.12
  5. Step 5: Solve for x
    x = 647,984.12/1,219.76
  6. Step 6: Final answer
    x = 531.24

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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.