Home / 3,103.50-4,282.86-1,706.28

Finding the Fourth Proportional to 3,103.50, 4,282.86 and 1,706.28

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Solution

The fourth proportional to 3,103.50, 4,282.86 and 1,706.28 is: 2,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.50 : 4,282.86 = 1,706.28 : x
  2. Step 2: Convert to fraction form
    3,103.50/4,282.86 = 1,706.28/x
  3. Step 3: Cross multiply
    3,103.50x = 4,282.86 × 1,706.28
  4. Step 4: Simplify right side
    3,103.50x = 7,307,758.36
  5. Step 5: Solve for x
    x = 7,307,758.36/3,103.50
  6. Step 6: Final answer
    x = 2,354.68

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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.