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Finding the Fourth Proportional to 2,302.01, 3,453.62 and 1,206.08

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Solution

The fourth proportional to 2,302.01, 3,453.62 and 1,206.08 is: 1,809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.01 : 3,453.62 = 1,206.08 : x
  2. Step 2: Convert to fraction form
    2,302.01/3,453.62 = 1,206.08/x
  3. Step 3: Cross multiply
    2,302.01x = 3,453.62 × 1,206.08
  4. Step 4: Simplify right side
    2,302.01x = 4,165,342.01
  5. Step 5: Solve for x
    x = 4,165,342.01/2,302.01
  6. Step 6: Final answer
    x = 1,809.44

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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.