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Finding the Fourth Proportional to 1,516, 2,273.92 and 420.34

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Solution

The fourth proportional to 1,516, 2,273.92 and 420.34 is: 630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516 : 2,273.92 = 420.34 : x
  2. Step 2: Convert to fraction form
    1,516/2,273.92 = 420.34/x
  3. Step 3: Cross multiply
    1,516x = 2,273.92 × 420.34
  4. Step 4: Simplify right side
    1,516x = 955,819.53
  5. Step 5: Solve for x
    x = 955,819.53/1,516
  6. Step 6: Final answer
    x = 630.49

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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.