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Finding the Fourth Proportional to 4,976.60, 7,465.96 and 1,644.99

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Solution

The fourth proportional to 4,976.60, 7,465.96 and 1,644.99 is: 2,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.60 : 7,465.96 = 1,644.99 : x
  2. Step 2: Convert to fraction form
    4,976.60/7,465.96 = 1,644.99/x
  3. Step 3: Cross multiply
    4,976.60x = 7,465.96 × 1,644.99
  4. Step 4: Simplify right side
    4,976.60x = 12,281,403.60
  5. Step 5: Solve for x
    x = 12,281,403.60/4,976.60
  6. Step 6: Final answer
    x = 2,467.83

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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.