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Finding the Fourth Proportional to 2,482.68, 3,724.24 and 838.64

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Solution

The fourth proportional to 2,482.68, 3,724.24 and 838.64 is: 1,258.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.68 : 3,724.24 = 838.64 : x
  2. Step 2: Convert to fraction form
    2,482.68/3,724.24 = 838.64/x
  3. Step 3: Cross multiply
    2,482.68x = 3,724.24 × 838.64
  4. Step 4: Simplify right side
    2,482.68x = 3,123,296.63
  5. Step 5: Solve for x
    x = 3,123,296.63/2,482.68
  6. Step 6: Final answer
    x = 1,258.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.