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Finding the Fourth Proportional to 2,179.59, 3,270.30 and 946.38

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Solution

The fourth proportional to 2,179.59, 3,270.30 and 946.38 is: 1,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.59 : 3,270.30 = 946.38 : x
  2. Step 2: Convert to fraction form
    2,179.59/3,270.30 = 946.38/x
  3. Step 3: Cross multiply
    2,179.59x = 3,270.30 × 946.38
  4. Step 4: Simplify right side
    2,179.59x = 3,094,946.51
  5. Step 5: Solve for x
    x = 3,094,946.51/2,179.59
  6. Step 6: Final answer
    x = 1,419.97

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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.