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Finding the Fourth Proportional to 1,571.80, 2,168.40 and 1,012.18

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Solution

The fourth proportional to 1,571.80, 2,168.40 and 1,012.18 is: 1,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.80 : 2,168.40 = 1,012.18 : x
  2. Step 2: Convert to fraction form
    1,571.80/2,168.40 = 1,012.18/x
  3. Step 3: Cross multiply
    1,571.80x = 2,168.40 × 1,012.18
  4. Step 4: Simplify right side
    1,571.80x = 2,194,811.11
  5. Step 5: Solve for x
    x = 2,194,811.11/1,571.80
  6. Step 6: Final answer
    x = 1,396.37

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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.