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Finding the Fourth Proportional to 2,543.02, 3,815.12 and 983.04

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Solution

The fourth proportional to 2,543.02, 3,815.12 and 983.04 is: 1,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.02 : 3,815.12 = 983.04 : x
  2. Step 2: Convert to fraction form
    2,543.02/3,815.12 = 983.04/x
  3. Step 3: Cross multiply
    2,543.02x = 3,815.12 × 983.04
  4. Step 4: Simplify right side
    2,543.02x = 3,750,418.43
  5. Step 5: Solve for x
    x = 3,750,418.43/2,543.02
  6. Step 6: Final answer
    x = 1,474.79

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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.