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Finding the Fourth Proportional to 2,366.84, 3,550.98 and 1,213.40

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Solution

The fourth proportional to 2,366.84, 3,550.98 and 1,213.40 is: 1,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.84 : 3,550.98 = 1,213.40 : x
  2. Step 2: Convert to fraction form
    2,366.84/3,550.98 = 1,213.40/x
  3. Step 3: Cross multiply
    2,366.84x = 3,550.98 × 1,213.40
  4. Step 4: Simplify right side
    2,366.84x = 4,308,759.13
  5. Step 5: Solve for x
    x = 4,308,759.13/2,366.84
  6. Step 6: Final answer
    x = 1,820.47

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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.