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Finding the Fourth Proportional to 4,881.60, 7,322.46 and 1,763.84

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Solution

The fourth proportional to 4,881.60, 7,322.46 and 1,763.84 is: 2,645.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.60 : 7,322.46 = 1,763.84 : x
  2. Step 2: Convert to fraction form
    4,881.60/7,322.46 = 1,763.84/x
  3. Step 3: Cross multiply
    4,881.60x = 7,322.46 × 1,763.84
  4. Step 4: Simplify right side
    4,881.60x = 12,915,647.85
  5. Step 5: Solve for x
    x = 12,915,647.85/4,881.60
  6. Step 6: Final answer
    x = 2,645.78

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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.