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Finding the Fourth Proportional to 3,103.50, 4,282.89 and 1,706.25

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Solution

The fourth proportional to 3,103.50, 4,282.89 and 1,706.25 is: 2,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.50 : 4,282.89 = 1,706.25 : x
  2. Step 2: Convert to fraction form
    3,103.50/4,282.89 = 1,706.25/x
  3. Step 3: Cross multiply
    3,103.50x = 4,282.89 × 1,706.25
  4. Step 4: Simplify right side
    3,103.50x = 7,307,681.06
  5. Step 5: Solve for x
    x = 7,307,681.06/3,103.50
  6. Step 6: Final answer
    x = 2,354.66

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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.