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Finding the Fourth Proportional to 2,303.15, 3,455.27 and 743.30

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Solution

The fourth proportional to 2,303.15, 3,455.27 and 743.30 is: 1,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.15 : 3,455.27 = 743.30 : x
  2. Step 2: Convert to fraction form
    2,303.15/3,455.27 = 743.30/x
  3. Step 3: Cross multiply
    2,303.15x = 3,455.27 × 743.30
  4. Step 4: Simplify right side
    2,303.15x = 2,568,281.20
  5. Step 5: Solve for x
    x = 2,568,281.20/2,303.15
  6. Step 6: Final answer
    x = 1,115.12

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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.