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Finding the Fourth Proportional to 2,543.10, 3,815.85 and 900.42

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Solution

The fourth proportional to 2,543.10, 3,815.85 and 900.42 is: 1,351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.10 : 3,815.85 = 900.42 : x
  2. Step 2: Convert to fraction form
    2,543.10/3,815.85 = 900.42/x
  3. Step 3: Cross multiply
    2,543.10x = 3,815.85 × 900.42
  4. Step 4: Simplify right side
    2,543.10x = 3,435,867.66
  5. Step 5: Solve for x
    x = 3,435,867.66/2,543.10
  6. Step 6: Final answer
    x = 1,351.05

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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.