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Finding the Fourth Proportional to 3,120.78, 4,306.65 and 1,723.50

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Solution

The fourth proportional to 3,120.78, 4,306.65 and 1,723.50 is: 2,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.78 : 4,306.65 = 1,723.50 : x
  2. Step 2: Convert to fraction form
    3,120.78/4,306.65 = 1,723.50/x
  3. Step 3: Cross multiply
    3,120.78x = 4,306.65 × 1,723.50
  4. Step 4: Simplify right side
    3,120.78x = 7,422,511.28
  5. Step 5: Solve for x
    x = 7,422,511.28/3,120.78
  6. Step 6: Final answer
    x = 2,378.42

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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.