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Finding the Fourth Proportional to 3,312.94, 4,571.94 and 1,821

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Solution

The fourth proportional to 3,312.94, 4,571.94 and 1,821 is: 2,513.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.94 : 4,571.94 = 1,821 : x
  2. Step 2: Convert to fraction form
    3,312.94/4,571.94 = 1,821/x
  3. Step 3: Cross multiply
    3,312.94x = 4,571.94 × 1,821
  4. Step 4: Simplify right side
    3,312.94x = 8,325,502.74
  5. Step 5: Solve for x
    x = 8,325,502.74/3,312.94
  6. Step 6: Final answer
    x = 2,513.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.