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Finding the Fourth Proportional to 3,432.46, 4,736.50 and 1,940.50

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Solution

The fourth proportional to 3,432.46, 4,736.50 and 1,940.50 is: 2,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.46 : 4,736.50 = 1,940.50 : x
  2. Step 2: Convert to fraction form
    3,432.46/4,736.50 = 1,940.50/x
  3. Step 3: Cross multiply
    3,432.46x = 4,736.50 × 1,940.50
  4. Step 4: Simplify right side
    3,432.46x = 9,191,178.25
  5. Step 5: Solve for x
    x = 9,191,178.25/3,432.46
  6. Step 6: Final answer
    x = 2,677.72

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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.