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Finding the Fourth Proportional to 1,612.92, 2,419.26 and 967.74

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Solution

The fourth proportional to 1,612.92, 2,419.26 and 967.74 is: 1,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.92 : 2,419.26 = 967.74 : x
  2. Step 2: Convert to fraction form
    1,612.92/2,419.26 = 967.74/x
  3. Step 3: Cross multiply
    1,612.92x = 2,419.26 × 967.74
  4. Step 4: Simplify right side
    1,612.92x = 2,341,214.67
  5. Step 5: Solve for x
    x = 2,341,214.67/1,612.92
  6. Step 6: Final answer
    x = 1,451.54

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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.