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Finding the Fourth Proportional to 1,609.61, 2,414.87 and 952.07

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Solution

The fourth proportional to 1,609.61, 2,414.87 and 952.07 is: 1,428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.61 : 2,414.87 = 952.07 : x
  2. Step 2: Convert to fraction form
    1,609.61/2,414.87 = 952.07/x
  3. Step 3: Cross multiply
    1,609.61x = 2,414.87 × 952.07
  4. Step 4: Simplify right side
    1,609.61x = 2,299,121.07
  5. Step 5: Solve for x
    x = 2,299,121.07/1,609.61
  6. Step 6: Final answer
    x = 1,428.37

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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.