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Finding the Fourth Proportional to 2,303.09, 3,455.30 and 743.05

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Solution

The fourth proportional to 2,303.09, 3,455.30 and 743.05 is: 1,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.09 : 3,455.30 = 743.05 : x
  2. Step 2: Convert to fraction form
    2,303.09/3,455.30 = 743.05/x
  3. Step 3: Cross multiply
    2,303.09x = 3,455.30 × 743.05
  4. Step 4: Simplify right side
    2,303.09x = 2,567,469.30
  5. Step 5: Solve for x
    x = 2,567,469.30/2,303.09
  6. Step 6: Final answer
    x = 1,114.80

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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.