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Finding the Fourth Proportional to 2,309.66, 3,465.50 and 1,213.76

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Solution

The fourth proportional to 2,309.66, 3,465.50 and 1,213.76 is: 1,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.66 : 3,465.50 = 1,213.76 : x
  2. Step 2: Convert to fraction form
    2,309.66/3,465.50 = 1,213.76/x
  3. Step 3: Cross multiply
    2,309.66x = 3,465.50 × 1,213.76
  4. Step 4: Simplify right side
    2,309.66x = 4,206,285.28
  5. Step 5: Solve for x
    x = 4,206,285.28/2,309.66
  6. Step 6: Final answer
    x = 1,821.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.