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Finding the Fourth Proportional to 3,430.89, 5,154.54 and 2,200.70

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Solution

The fourth proportional to 3,430.89, 5,154.54 and 2,200.70 is: 3,306.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.89 : 5,154.54 = 2,200.70 : x
  2. Step 2: Convert to fraction form
    3,430.89/5,154.54 = 2,200.70/x
  3. Step 3: Cross multiply
    3,430.89x = 5,154.54 × 2,200.70
  4. Step 4: Simplify right side
    3,430.89x = 11,343,596.18
  5. Step 5: Solve for x
    x = 11,343,596.18/3,430.89
  6. Step 6: Final answer
    x = 3,306.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.