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Finding the Fourth Proportional to 3,000.56, 4,143 and 1,823.22

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Solution

The fourth proportional to 3,000.56, 4,143 and 1,823.22 is: 2,517.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.56 : 4,143 = 1,823.22 : x
  2. Step 2: Convert to fraction form
    3,000.56/4,143 = 1,823.22/x
  3. Step 3: Cross multiply
    3,000.56x = 4,143 × 1,823.22
  4. Step 4: Simplify right side
    3,000.56x = 7,553,600.46
  5. Step 5: Solve for x
    x = 7,553,600.46/3,000.56
  6. Step 6: Final answer
    x = 2,517.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.