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Finding the Fourth Proportional to 2,842.80, 4,259.40 and 2,353.20

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Solution

The fourth proportional to 2,842.80, 4,259.40 and 2,353.20 is: 3,525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.80 : 4,259.40 = 2,353.20 : x
  2. Step 2: Convert to fraction form
    2,842.80/4,259.40 = 2,353.20/x
  3. Step 3: Cross multiply
    2,842.80x = 4,259.40 × 2,353.20
  4. Step 4: Simplify right side
    2,842.80x = 10,023,220.08
  5. Step 5: Solve for x
    x = 10,023,220.08/2,842.80
  6. Step 6: Final answer
    x = 3,525.83

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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.