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Finding the Fourth Proportional to 1,939.08, 2,908.80 and 784.92

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Solution

The fourth proportional to 1,939.08, 2,908.80 and 784.92 is: 1,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.08 : 2,908.80 = 784.92 : x
  2. Step 2: Convert to fraction form
    1,939.08/2,908.80 = 784.92/x
  3. Step 3: Cross multiply
    1,939.08x = 2,908.80 × 784.92
  4. Step 4: Simplify right side
    1,939.08x = 2,283,175.30
  5. Step 5: Solve for x
    x = 2,283,175.30/1,939.08
  6. Step 6: Final answer
    x = 1,177.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.