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Finding the Fourth Proportional to 2,097.50, 2,885.90 and 1,816.83

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Solution

The fourth proportional to 2,097.50, 2,885.90 and 1,816.83 is: 2,499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.50 : 2,885.90 = 1,816.83 : x
  2. Step 2: Convert to fraction form
    2,097.50/2,885.90 = 1,816.83/x
  3. Step 3: Cross multiply
    2,097.50x = 2,885.90 × 1,816.83
  4. Step 4: Simplify right side
    2,097.50x = 5,243,180.61
  5. Step 5: Solve for x
    x = 5,243,180.61/2,097.50
  6. Step 6: Final answer
    x = 2,499.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.