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Finding the Fourth Proportional to 2,301.82, 3,453.15 and 842.02

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Solution

The fourth proportional to 2,301.82, 3,453.15 and 842.02 is: 1,263.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.82 : 3,453.15 = 842.02 : x
  2. Step 2: Convert to fraction form
    2,301.82/3,453.15 = 842.02/x
  3. Step 3: Cross multiply
    2,301.82x = 3,453.15 × 842.02
  4. Step 4: Simplify right side
    2,301.82x = 2,907,621.36
  5. Step 5: Solve for x
    x = 2,907,621.36/2,301.82
  6. Step 6: Final answer
    x = 1,263.18

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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.