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Finding the Fourth Proportional to 3,214.64, 4,821.13 and 1,364.81

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Solution

The fourth proportional to 3,214.64, 4,821.13 and 1,364.81 is: 2,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.64 : 4,821.13 = 1,364.81 : x
  2. Step 2: Convert to fraction form
    3,214.64/4,821.13 = 1,364.81/x
  3. Step 3: Cross multiply
    3,214.64x = 4,821.13 × 1,364.81
  4. Step 4: Simplify right side
    3,214.64x = 6,579,898.92
  5. Step 5: Solve for x
    x = 6,579,898.92/3,214.64
  6. Step 6: Final answer
    x = 2,046.85

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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.