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Finding the Fourth Proportional to 3,430.87, 5,154.51 and 2,200.68

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Solution

The fourth proportional to 3,430.87, 5,154.51 and 2,200.68 is: 3,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.87 : 5,154.51 = 2,200.68 : x
  2. Step 2: Convert to fraction form
    3,430.87/5,154.51 = 2,200.68/x
  3. Step 3: Cross multiply
    3,430.87x = 5,154.51 × 2,200.68
  4. Step 4: Simplify right side
    3,430.87x = 11,343,427.07
  5. Step 5: Solve for x
    x = 11,343,427.07/3,430.87
  6. Step 6: Final answer
    x = 3,306.29

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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.