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Finding the Fourth Proportional to 2,453.81, 3,681.26 and 2,346.17

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Solution

The fourth proportional to 2,453.81, 3,681.26 and 2,346.17 is: 3,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.81 : 3,681.26 = 2,346.17 : x
  2. Step 2: Convert to fraction form
    2,453.81/3,681.26 = 2,346.17/x
  3. Step 3: Cross multiply
    2,453.81x = 3,681.26 × 2,346.17
  4. Step 4: Simplify right side
    2,453.81x = 8,636,861.77
  5. Step 5: Solve for x
    x = 8,636,861.77/2,453.81
  6. Step 6: Final answer
    x = 3,519.78

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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.