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Finding the Fourth Proportional to 2,543.98, 3,815.86 and 984.38

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Solution

The fourth proportional to 2,543.98, 3,815.86 and 984.38 is: 1,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.98 : 3,815.86 = 984.38 : x
  2. Step 2: Convert to fraction form
    2,543.98/3,815.86 = 984.38/x
  3. Step 3: Cross multiply
    2,543.98x = 3,815.86 × 984.38
  4. Step 4: Simplify right side
    2,543.98x = 3,756,247.30
  5. Step 5: Solve for x
    x = 3,756,247.30/2,543.98
  6. Step 6: Final answer
    x = 1,476.52

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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.