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Finding the Fourth Proportional to 3,103.65, 4,283.28 and 1,777.68

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Solution

The fourth proportional to 3,103.65, 4,283.28 and 1,777.68 is: 2,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.65 : 4,283.28 = 1,777.68 : x
  2. Step 2: Convert to fraction form
    3,103.65/4,283.28 = 1,777.68/x
  3. Step 3: Cross multiply
    3,103.65x = 4,283.28 × 1,777.68
  4. Step 4: Simplify right side
    3,103.65x = 7,614,301.19
  5. Step 5: Solve for x
    x = 7,614,301.19/3,103.65
  6. Step 6: Final answer
    x = 2,453.34

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Why These Related Problems?

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