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Finding the Fourth Proportional to 2,808.66, 3,874.56 and 1,814.78

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Solution

The fourth proportional to 2,808.66, 3,874.56 and 1,814.78 is: 2,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.66 : 3,874.56 = 1,814.78 : x
  2. Step 2: Convert to fraction form
    2,808.66/3,874.56 = 1,814.78/x
  3. Step 3: Cross multiply
    2,808.66x = 3,874.56 × 1,814.78
  4. Step 4: Simplify right side
    2,808.66x = 7,031,474.00
  5. Step 5: Solve for x
    x = 7,031,474.00/2,808.66
  6. Step 6: Final answer
    x = 2,503.50

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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.