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Finding the Fourth Proportional to 2,392.28, 3,586.28 and 930.44

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Solution

The fourth proportional to 2,392.28, 3,586.28 and 930.44 is: 1,394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.28 : 3,586.28 = 930.44 : x
  2. Step 2: Convert to fraction form
    2,392.28/3,586.28 = 930.44/x
  3. Step 3: Cross multiply
    2,392.28x = 3,586.28 × 930.44
  4. Step 4: Simplify right side
    2,392.28x = 3,336,818.36
  5. Step 5: Solve for x
    x = 3,336,818.36/2,392.28
  6. Step 6: Final answer
    x = 1,394.83

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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.