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Finding the Fourth Proportional to 3,212.63, 4,820.31 and 1,364.14

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Solution

The fourth proportional to 3,212.63, 4,820.31 and 1,364.14 is: 2,046.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.63 : 4,820.31 = 1,364.14 : x
  2. Step 2: Convert to fraction form
    3,212.63/4,820.31 = 1,364.14/x
  3. Step 3: Cross multiply
    3,212.63x = 4,820.31 × 1,364.14
  4. Step 4: Simplify right side
    3,212.63x = 6,575,583.71
  5. Step 5: Solve for x
    x = 6,575,583.71/3,212.63
  6. Step 6: Final answer
    x = 2,046.79

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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.