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Finding the Fourth Proportional to 2,476.98, 3,716.48 and 2,269.89

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Solution

The fourth proportional to 2,476.98, 3,716.48 and 2,269.89 is: 3,405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.98 : 3,716.48 = 2,269.89 : x
  2. Step 2: Convert to fraction form
    2,476.98/3,716.48 = 2,269.89/x
  3. Step 3: Cross multiply
    2,476.98x = 3,716.48 × 2,269.89
  4. Step 4: Simplify right side
    2,476.98x = 8,436,006.46
  5. Step 5: Solve for x
    x = 8,436,006.46/2,476.98
  6. Step 6: Final answer
    x = 3,405.76

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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.