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Finding the Fourth Proportional to 3,103.76, 4,283.18 and 1,706.50

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Solution

The fourth proportional to 3,103.76, 4,283.18 and 1,706.50 is: 2,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.76 : 4,283.18 = 1,706.50 : x
  2. Step 2: Convert to fraction form
    3,103.76/4,283.18 = 1,706.50/x
  3. Step 3: Cross multiply
    3,103.76x = 4,283.18 × 1,706.50
  4. Step 4: Simplify right side
    3,103.76x = 7,309,246.67
  5. Step 5: Solve for x
    x = 7,309,246.67/3,103.76
  6. Step 6: Final answer
    x = 2,354.97

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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.