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Finding the Fourth Proportional to 1,864, 2,794.88 and 631.20

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Solution

The fourth proportional to 1,864, 2,794.88 and 631.20 is: 946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864 : 2,794.88 = 631.20 : x
  2. Step 2: Convert to fraction form
    1,864/2,794.88 = 631.20/x
  3. Step 3: Cross multiply
    1,864x = 2,794.88 × 631.20
  4. Step 4: Simplify right side
    1,864x = 1,764,128.26
  5. Step 5: Solve for x
    x = 1,764,128.26/1,864
  6. Step 6: Final answer
    x = 946.42

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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.