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Finding the Fourth Proportional to 2,477.89, 3,716.70 and 628.84

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Solution

The fourth proportional to 2,477.89, 3,716.70 and 628.84 is: 943.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.89 : 3,716.70 = 628.84 : x
  2. Step 2: Convert to fraction form
    2,477.89/3,716.70 = 628.84/x
  3. Step 3: Cross multiply
    2,477.89x = 3,716.70 × 628.84
  4. Step 4: Simplify right side
    2,477.89x = 2,337,209.63
  5. Step 5: Solve for x
    x = 2,337,209.63/2,477.89
  6. Step 6: Final answer
    x = 943.23

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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.