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Finding the Fourth Proportional to 4,833.04, 7,244 and 2,230.50

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Solution

The fourth proportional to 4,833.04, 7,244 and 2,230.50 is: 3,343.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.04 : 7,244 = 2,230.50 : x
  2. Step 2: Convert to fraction form
    4,833.04/7,244 = 2,230.50/x
  3. Step 3: Cross multiply
    4,833.04x = 7,244 × 2,230.50
  4. Step 4: Simplify right side
    4,833.04x = 16,157,742
  5. Step 5: Solve for x
    x = 16,157,742/4,833.04
  6. Step 6: Final answer
    x = 3,343.18

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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.