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Finding the Fourth Proportional to 6,282.80, 9,425.70 and 1,900.30

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Solution

The fourth proportional to 6,282.80, 9,425.70 and 1,900.30 is: 2,850.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.80 : 9,425.70 = 1,900.30 : x
  2. Step 2: Convert to fraction form
    6,282.80/9,425.70 = 1,900.30/x
  3. Step 3: Cross multiply
    6,282.80x = 9,425.70 × 1,900.30
  4. Step 4: Simplify right side
    6,282.80x = 17,911,657.71
  5. Step 5: Solve for x
    x = 17,911,657.71/6,282.80
  6. Step 6: Final answer
    x = 2,850.90

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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.