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Finding the Fourth Proportional to 2,185.48, 3,279.89 and 800.13

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Solution

The fourth proportional to 2,185.48, 3,279.89 and 800.13 is: 1,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.48 : 3,279.89 = 800.13 : x
  2. Step 2: Convert to fraction form
    2,185.48/3,279.89 = 800.13/x
  3. Step 3: Cross multiply
    2,185.48x = 3,279.89 × 800.13
  4. Step 4: Simplify right side
    2,185.48x = 2,624,334.24
  5. Step 5: Solve for x
    x = 2,624,334.24/2,185.48
  6. Step 6: Final answer
    x = 1,200.80

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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.