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Finding the Fourth Proportional to 2,353.57, 3,246.09 and 1,645.18

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Solution

The fourth proportional to 2,353.57, 3,246.09 and 1,645.18 is: 2,269.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.57 : 3,246.09 = 1,645.18 : x
  2. Step 2: Convert to fraction form
    2,353.57/3,246.09 = 1,645.18/x
  3. Step 3: Cross multiply
    2,353.57x = 3,246.09 × 1,645.18
  4. Step 4: Simplify right side
    2,353.57x = 5,340,402.35
  5. Step 5: Solve for x
    x = 5,340,402.35/2,353.57
  6. Step 6: Final answer
    x = 2,269.06

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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.