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Finding the Fourth Proportional to 3,352.59, 5,026.46 and 1,620

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Solution

The fourth proportional to 3,352.59, 5,026.46 and 1,620 is: 2,428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352.59 : 5,026.46 = 1,620 : x
  2. Step 2: Convert to fraction form
    3,352.59/5,026.46 = 1,620/x
  3. Step 3: Cross multiply
    3,352.59x = 5,026.46 × 1,620
  4. Step 4: Simplify right side
    3,352.59x = 8,142,857.10
  5. Step 5: Solve for x
    x = 8,142,857.10/3,352.59
  6. Step 6: Final answer
    x = 2,428.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.