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Finding the Fourth Proportional to 2,443.70, 3,664.65 and 800.30

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Solution

The fourth proportional to 2,443.70, 3,664.65 and 800.30 is: 1,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.70 : 3,664.65 = 800.30 : x
  2. Step 2: Convert to fraction form
    2,443.70/3,664.65 = 800.30/x
  3. Step 3: Cross multiply
    2,443.70x = 3,664.65 × 800.30
  4. Step 4: Simplify right side
    2,443.70x = 2,932,819.40
  5. Step 5: Solve for x
    x = 2,932,819.40/2,443.70
  6. Step 6: Final answer
    x = 1,200.16

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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.