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Finding the Fourth Proportional to 3,430.50, 4,735.17 and 2,188.50

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Solution

The fourth proportional to 3,430.50, 4,735.17 and 2,188.50 is: 3,020.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.50 : 4,735.17 = 2,188.50 : x
  2. Step 2: Convert to fraction form
    3,430.50/4,735.17 = 2,188.50/x
  3. Step 3: Cross multiply
    3,430.50x = 4,735.17 × 2,188.50
  4. Step 4: Simplify right side
    3,430.50x = 10,362,919.55
  5. Step 5: Solve for x
    x = 10,362,919.55/3,430.50
  6. Step 6: Final answer
    x = 3,020.82

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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.