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Finding the Fourth Proportional to 3,103.81, 4,283.31 and 1,777.63

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Solution

The fourth proportional to 3,103.81, 4,283.31 and 1,777.63 is: 2,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.81 : 4,283.31 = 1,777.63 : x
  2. Step 2: Convert to fraction form
    3,103.81/4,283.31 = 1,777.63/x
  3. Step 3: Cross multiply
    3,103.81x = 4,283.31 × 1,777.63
  4. Step 4: Simplify right side
    3,103.81x = 7,614,140.36
  5. Step 5: Solve for x
    x = 7,614,140.36/3,103.81
  6. Step 6: Final answer
    x = 2,453.16

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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.