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Finding the Fourth Proportional to 2,830.80, 4,239.02 and 2,367.43

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Solution

The fourth proportional to 2,830.80, 4,239.02 and 2,367.43 is: 3,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.80 : 4,239.02 = 2,367.43 : x
  2. Step 2: Convert to fraction form
    2,830.80/4,239.02 = 2,367.43/x
  3. Step 3: Cross multiply
    2,830.80x = 4,239.02 × 2,367.43
  4. Step 4: Simplify right side
    2,830.80x = 10,035,575.11
  5. Step 5: Solve for x
    x = 10,035,575.11/2,830.80
  6. Step 6: Final answer
    x = 3,545.14

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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.