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Finding the Fourth Proportional to 4,151.62, 6,225.81 and 1,812.34

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Solution

The fourth proportional to 4,151.62, 6,225.81 and 1,812.34 is: 2,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.62 : 6,225.81 = 1,812.34 : x
  2. Step 2: Convert to fraction form
    4,151.62/6,225.81 = 1,812.34/x
  3. Step 3: Cross multiply
    4,151.62x = 6,225.81 × 1,812.34
  4. Step 4: Simplify right side
    4,151.62x = 11,283,284.50
  5. Step 5: Solve for x
    x = 11,283,284.50/4,151.62
  6. Step 6: Final answer
    x = 2,717.80

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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.