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Finding the Fourth Proportional to 3,312.68, 4,571.38 and 1,820.50

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Solution

The fourth proportional to 3,312.68, 4,571.38 and 1,820.50 is: 2,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.68 : 4,571.38 = 1,820.50 : x
  2. Step 2: Convert to fraction form
    3,312.68/4,571.38 = 1,820.50/x
  3. Step 3: Cross multiply
    3,312.68x = 4,571.38 × 1,820.50
  4. Step 4: Simplify right side
    3,312.68x = 8,322,165.33
  5. Step 5: Solve for x
    x = 8,322,165.33/3,312.68
  6. Step 6: Final answer
    x = 2,512.22

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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.