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Finding the Fourth Proportional to 4,561.31, 6,841.98 and 1,928.41

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Solution

The fourth proportional to 4,561.31, 6,841.98 and 1,928.41 is: 2,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.31 : 6,841.98 = 1,928.41 : x
  2. Step 2: Convert to fraction form
    4,561.31/6,841.98 = 1,928.41/x
  3. Step 3: Cross multiply
    4,561.31x = 6,841.98 × 1,928.41
  4. Step 4: Simplify right side
    4,561.31x = 13,194,125.55
  5. Step 5: Solve for x
    x = 13,194,125.55/4,561.31
  6. Step 6: Final answer
    x = 2,892.62

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1.5x scale

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.