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Finding the Fourth Proportional to 2,453.67, 3,384.13 and 1,734.58

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Solution

The fourth proportional to 2,453.67, 3,384.13 and 1,734.58 is: 2,392.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.67 : 3,384.13 = 1,734.58 : x
  2. Step 2: Convert to fraction form
    2,453.67/3,384.13 = 1,734.58/x
  3. Step 3: Cross multiply
    2,453.67x = 3,384.13 × 1,734.58
  4. Step 4: Simplify right side
    2,453.67x = 5,870,049.01
  5. Step 5: Solve for x
    x = 5,870,049.01/2,453.67
  6. Step 6: Final answer
    x = 2,392.35

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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.