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Finding the Fourth Proportional to 1,960.66, 2,926.98 and 1,892.32

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Solution

The fourth proportional to 1,960.66, 2,926.98 and 1,892.32 is: 2,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.66 : 2,926.98 = 1,892.32 : x
  2. Step 2: Convert to fraction form
    1,960.66/2,926.98 = 1,892.32/x
  3. Step 3: Cross multiply
    1,960.66x = 2,926.98 × 1,892.32
  4. Step 4: Simplify right side
    1,960.66x = 5,538,782.79
  5. Step 5: Solve for x
    x = 5,538,782.79/1,960.66
  6. Step 6: Final answer
    x = 2,824.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.