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Finding the Fourth Proportional to 3,103.99, 4,283.70 and 1,777.66

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Solution

The fourth proportional to 3,103.99, 4,283.70 and 1,777.66 is: 2,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.99 : 4,283.70 = 1,777.66 : x
  2. Step 2: Convert to fraction form
    3,103.99/4,283.70 = 1,777.66/x
  3. Step 3: Cross multiply
    3,103.99x = 4,283.70 × 1,777.66
  4. Step 4: Simplify right side
    3,103.99x = 7,614,962.14
  5. Step 5: Solve for x
    x = 7,614,962.14/3,103.99
  6. Step 6: Final answer
    x = 2,453.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.