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Finding the Fourth Proportional to 1,571.53, 2,168.07 and 942.08

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Solution

The fourth proportional to 1,571.53, 2,168.07 and 942.08 is: 1,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.53 : 2,168.07 = 942.08 : x
  2. Step 2: Convert to fraction form
    1,571.53/2,168.07 = 942.08/x
  3. Step 3: Cross multiply
    1,571.53x = 2,168.07 × 942.08
  4. Step 4: Simplify right side
    1,571.53x = 2,042,495.39
  5. Step 5: Solve for x
    x = 2,042,495.39/1,571.53
  6. Step 6: Final answer
    x = 1,299.69

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1.5x scale

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.