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Finding the Fourth Proportional to 2,303.80, 3,450.54 and 1,147

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Solution

The fourth proportional to 2,303.80, 3,450.54 and 1,147 is: 1,717.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.80 : 3,450.54 = 1,147 : x
  2. Step 2: Convert to fraction form
    2,303.80/3,450.54 = 1,147/x
  3. Step 3: Cross multiply
    2,303.80x = 3,450.54 × 1,147
  4. Step 4: Simplify right side
    2,303.80x = 3,957,769.38
  5. Step 5: Solve for x
    x = 3,957,769.38/2,303.80
  6. Step 6: Final answer
    x = 1,717.93

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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.