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Finding the Fourth Proportional to 4,604.80, 6,903.42 and 1,830.28

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Solution

The fourth proportional to 4,604.80, 6,903.42 and 1,830.28 is: 2,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.80 : 6,903.42 = 1,830.28 : x
  2. Step 2: Convert to fraction form
    4,604.80/6,903.42 = 1,830.28/x
  3. Step 3: Cross multiply
    4,604.80x = 6,903.42 × 1,830.28
  4. Step 4: Simplify right side
    4,604.80x = 12,635,191.56
  5. Step 5: Solve for x
    x = 12,635,191.56/4,604.80
  6. Step 6: Final answer
    x = 2,743.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.