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Finding the Fourth Proportional to 3,453.14, 4,763.82 and 2,333.68

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Solution

The fourth proportional to 3,453.14, 4,763.82 and 2,333.68 is: 3,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.14 : 4,763.82 = 2,333.68 : x
  2. Step 2: Convert to fraction form
    3,453.14/4,763.82 = 2,333.68/x
  3. Step 3: Cross multiply
    3,453.14x = 4,763.82 × 2,333.68
  4. Step 4: Simplify right side
    3,453.14x = 11,117,228.30
  5. Step 5: Solve for x
    x = 11,117,228.30/3,453.14
  6. Step 6: Final answer
    x = 3,219.45

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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.