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Finding the Fourth Proportional to 2,543.89, 3,816.84 and 900.61

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Solution

The fourth proportional to 2,543.89, 3,816.84 and 900.61 is: 1,351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.89 : 3,816.84 = 900.61 : x
  2. Step 2: Convert to fraction form
    2,543.89/3,816.84 = 900.61/x
  3. Step 3: Cross multiply
    2,543.89x = 3,816.84 × 900.61
  4. Step 4: Simplify right side
    2,543.89x = 3,437,484.27
  5. Step 5: Solve for x
    x = 3,437,484.27/2,543.89
  6. Step 6: Final answer
    x = 1,351.27

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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.