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Finding the Fourth Proportional to 1,538.70, 2,122.38 and 940.92

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Solution

The fourth proportional to 1,538.70, 2,122.38 and 940.92 is: 1,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.70 : 2,122.38 = 940.92 : x
  2. Step 2: Convert to fraction form
    1,538.70/2,122.38 = 940.92/x
  3. Step 3: Cross multiply
    1,538.70x = 2,122.38 × 940.92
  4. Step 4: Simplify right side
    1,538.70x = 1,996,989.79
  5. Step 5: Solve for x
    x = 1,996,989.79/1,538.70
  6. Step 6: Final answer
    x = 1,297.84

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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.