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Finding the Fourth Proportional to 6,280.80, 9,422.70 and 1,898.30

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Solution

The fourth proportional to 6,280.80, 9,422.70 and 1,898.30 is: 2,847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.80 : 9,422.70 = 1,898.30 : x
  2. Step 2: Convert to fraction form
    6,280.80/9,422.70 = 1,898.30/x
  3. Step 3: Cross multiply
    6,280.80x = 9,422.70 × 1,898.30
  4. Step 4: Simplify right side
    6,280.80x = 17,887,111.41
  5. Step 5: Solve for x
    x = 17,887,111.41/6,280.80
  6. Step 6: Final answer
    x = 2,847.90

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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.