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Finding the Fourth Proportional to 2,284.93, 3,426.37 and 724.64

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Solution

The fourth proportional to 2,284.93, 3,426.37 and 724.64 is: 1,086.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.93 : 3,426.37 = 724.64 : x
  2. Step 2: Convert to fraction form
    2,284.93/3,426.37 = 724.64/x
  3. Step 3: Cross multiply
    2,284.93x = 3,426.37 × 724.64
  4. Step 4: Simplify right side
    2,284.93x = 2,482,881.13
  5. Step 5: Solve for x
    x = 2,482,881.13/2,284.93
  6. Step 6: Final answer
    x = 1,086.63

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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.