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Finding the Fourth Proportional to 2,809.44, 4,207.24 and 1,420.87

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Solution

The fourth proportional to 2,809.44, 4,207.24 and 1,420.87 is: 2,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.44 : 4,207.24 = 1,420.87 : x
  2. Step 2: Convert to fraction form
    2,809.44/4,207.24 = 1,420.87/x
  3. Step 3: Cross multiply
    2,809.44x = 4,207.24 × 1,420.87
  4. Step 4: Simplify right side
    2,809.44x = 5,977,928.41
  5. Step 5: Solve for x
    x = 5,977,928.41/2,809.44
  6. Step 6: Final answer
    x = 2,127.80

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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.