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Finding the Fourth Proportional to 2,379.92, 3,283.28 and 1,594.22

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Solution

The fourth proportional to 2,379.92, 3,283.28 and 1,594.22 is: 2,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.92 : 3,283.28 = 1,594.22 : x
  2. Step 2: Convert to fraction form
    2,379.92/3,283.28 = 1,594.22/x
  3. Step 3: Cross multiply
    2,379.92x = 3,283.28 × 1,594.22
  4. Step 4: Simplify right side
    2,379.92x = 5,234,246.25
  5. Step 5: Solve for x
    x = 5,234,246.25/2,379.92
  6. Step 6: Final answer
    x = 2,199.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.