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Finding the Fourth Proportional to 2,814.57, 3,885.69 and 2,503.11

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Solution

The fourth proportional to 2,814.57, 3,885.69 and 2,503.11 is: 3,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.57 : 3,885.69 = 2,503.11 : x
  2. Step 2: Convert to fraction form
    2,814.57/3,885.69 = 2,503.11/x
  3. Step 3: Cross multiply
    2,814.57x = 3,885.69 × 2,503.11
  4. Step 4: Simplify right side
    2,814.57x = 9,726,309.50
  5. Step 5: Solve for x
    x = 9,726,309.50/2,814.57
  6. Step 6: Final answer
    x = 3,455.70

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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.