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Finding the Fourth Proportional to 2,643.46, 3,966.13 and 1,239.14

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Solution

The fourth proportional to 2,643.46, 3,966.13 and 1,239.14 is: 1,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.46 : 3,966.13 = 1,239.14 : x
  2. Step 2: Convert to fraction form
    2,643.46/3,966.13 = 1,239.14/x
  3. Step 3: Cross multiply
    2,643.46x = 3,966.13 × 1,239.14
  4. Step 4: Simplify right side
    2,643.46x = 4,914,590.33
  5. Step 5: Solve for x
    x = 4,914,590.33/2,643.46
  6. Step 6: Final answer
    x = 1,859.15

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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.