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Finding the Fourth Proportional to 2,303.54, 3,456.17 and 1,379.75

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Solution

The fourth proportional to 2,303.54, 3,456.17 and 1,379.75 is: 2,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.54 : 3,456.17 = 1,379.75 : x
  2. Step 2: Convert to fraction form
    2,303.54/3,456.17 = 1,379.75/x
  3. Step 3: Cross multiply
    2,303.54x = 3,456.17 × 1,379.75
  4. Step 4: Simplify right side
    2,303.54x = 4,768,650.56
  5. Step 5: Solve for x
    x = 4,768,650.56/2,303.54
  6. Step 6: Final answer
    x = 2,070.14

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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.