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Finding the Fourth Proportional to 3,182.70, 4,774.23 and 1,333.50

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Solution

The fourth proportional to 3,182.70, 4,774.23 and 1,333.50 is: 2,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.70 : 4,774.23 = 1,333.50 : x
  2. Step 2: Convert to fraction form
    3,182.70/4,774.23 = 1,333.50/x
  3. Step 3: Cross multiply
    3,182.70x = 4,774.23 × 1,333.50
  4. Step 4: Simplify right side
    3,182.70x = 6,366,435.71
  5. Step 5: Solve for x
    x = 6,366,435.71/3,182.70
  6. Step 6: Final answer
    x = 2,000.33

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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.