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Finding the Fourth Proportional to 3,211.53, 4,430.81 and 1,952.19

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Solution

The fourth proportional to 3,211.53, 4,430.81 and 1,952.19 is: 2,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.53 : 4,430.81 = 1,952.19 : x
  2. Step 2: Convert to fraction form
    3,211.53/4,430.81 = 1,952.19/x
  3. Step 3: Cross multiply
    3,211.53x = 4,430.81 × 1,952.19
  4. Step 4: Simplify right side
    3,211.53x = 8,649,773.21
  5. Step 5: Solve for x
    x = 8,649,773.21/3,211.53
  6. Step 6: Final answer
    x = 2,693.35

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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.