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Finding the Fourth Proportional to 2,300.60, 3,451.40 and 839.75

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Solution

The fourth proportional to 2,300.60, 3,451.40 and 839.75 is: 1,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.60 : 3,451.40 = 839.75 : x
  2. Step 2: Convert to fraction form
    2,300.60/3,451.40 = 839.75/x
  3. Step 3: Cross multiply
    2,300.60x = 3,451.40 × 839.75
  4. Step 4: Simplify right side
    2,300.60x = 2,898,299.57
  5. Step 5: Solve for x
    x = 2,898,299.57/2,300.60
  6. Step 6: Final answer
    x = 1,259.80

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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.