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Finding the Fourth Proportional to 3,432.70, 4,734 and 2,296.36

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Solution

The fourth proportional to 3,432.70, 4,734 and 2,296.36 is: 3,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.70 : 4,734 = 2,296.36 : x
  2. Step 2: Convert to fraction form
    3,432.70/4,734 = 2,296.36/x
  3. Step 3: Cross multiply
    3,432.70x = 4,734 × 2,296.36
  4. Step 4: Simplify right side
    3,432.70x = 10,870,968.24
  5. Step 5: Solve for x
    x = 10,870,968.24/3,432.70
  6. Step 6: Final answer
    x = 3,166.89

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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.