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Finding the Fourth Proportional to 2,366.85, 3,546.63 and 1,326.21

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Solution

The fourth proportional to 2,366.85, 3,546.63 and 1,326.21 is: 1,987.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.85 : 3,546.63 = 1,326.21 : x
  2. Step 2: Convert to fraction form
    2,366.85/3,546.63 = 1,326.21/x
  3. Step 3: Cross multiply
    2,366.85x = 3,546.63 × 1,326.21
  4. Step 4: Simplify right side
    2,366.85x = 4,703,576.17
  5. Step 5: Solve for x
    x = 4,703,576.17/2,366.85
  6. Step 6: Final answer
    x = 1,987.27

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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.