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Finding the Fourth Proportional to 3,109.44, 4,663.68 and 1,809.60

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Solution

The fourth proportional to 3,109.44, 4,663.68 and 1,809.60 is: 2,714.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.44 : 4,663.68 = 1,809.60 : x
  2. Step 2: Convert to fraction form
    3,109.44/4,663.68 = 1,809.60/x
  3. Step 3: Cross multiply
    3,109.44x = 4,663.68 × 1,809.60
  4. Step 4: Simplify right side
    3,109.44x = 8,439,395.33
  5. Step 5: Solve for x
    x = 8,439,395.33/3,109.44
  6. Step 6: Final answer
    x = 2,714.12

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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.