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Finding the Fourth Proportional to 3,268.22, 4,902.87 and 1,624.82

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Solution

The fourth proportional to 3,268.22, 4,902.87 and 1,624.82 is: 2,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.22 : 4,902.87 = 1,624.82 : x
  2. Step 2: Convert to fraction form
    3,268.22/4,902.87 = 1,624.82/x
  3. Step 3: Cross multiply
    3,268.22x = 4,902.87 × 1,624.82
  4. Step 4: Simplify right side
    3,268.22x = 7,966,281.23
  5. Step 5: Solve for x
    x = 7,966,281.23/3,268.22
  6. Step 6: Final answer
    x = 2,437.50

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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.