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Finding the Fourth Proportional to 3,211.03, 4,430.86 and 1,813.78

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Solution

The fourth proportional to 3,211.03, 4,430.86 and 1,813.78 is: 2,502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.03 : 4,430.86 = 1,813.78 : x
  2. Step 2: Convert to fraction form
    3,211.03/4,430.86 = 1,813.78/x
  3. Step 3: Cross multiply
    3,211.03x = 4,430.86 × 1,813.78
  4. Step 4: Simplify right side
    3,211.03x = 8,036,605.25
  5. Step 5: Solve for x
    x = 8,036,605.25/3,211.03
  6. Step 6: Final answer
    x = 2,502.81

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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.