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Finding the Fourth Proportional to 3,210.94, 4,431 and 1,813.78

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Solution

The fourth proportional to 3,210.94, 4,431 and 1,813.78 is: 2,502.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.94 : 4,431 = 1,813.78 : x
  2. Step 2: Convert to fraction form
    3,210.94/4,431 = 1,813.78/x
  3. Step 3: Cross multiply
    3,210.94x = 4,431 × 1,813.78
  4. Step 4: Simplify right side
    3,210.94x = 8,036,859.18
  5. Step 5: Solve for x
    x = 8,036,859.18/3,210.94
  6. Step 6: Final answer
    x = 2,502.96

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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.