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Finding the Fourth Proportional to 2,309.75, 3,465.64 and 1,213.86

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Solution

The fourth proportional to 2,309.75, 3,465.64 and 1,213.86 is: 1,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.75 : 3,465.64 = 1,213.86 : x
  2. Step 2: Convert to fraction form
    2,309.75/3,465.64 = 1,213.86/x
  3. Step 3: Cross multiply
    2,309.75x = 3,465.64 × 1,213.86
  4. Step 4: Simplify right side
    2,309.75x = 4,206,801.77
  5. Step 5: Solve for x
    x = 4,206,801.77/2,309.75
  6. Step 6: Final answer
    x = 1,821.32

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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.