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Finding the Fourth Proportional to 2,980.92, 4,113.86 and 1,722.20

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Solution

The fourth proportional to 2,980.92, 4,113.86 and 1,722.20 is: 2,376.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.92 : 4,113.86 = 1,722.20 : x
  2. Step 2: Convert to fraction form
    2,980.92/4,113.86 = 1,722.20/x
  3. Step 3: Cross multiply
    2,980.92x = 4,113.86 × 1,722.20
  4. Step 4: Simplify right side
    2,980.92x = 7,084,889.69
  5. Step 5: Solve for x
    x = 7,084,889.69/2,980.92
  6. Step 6: Final answer
    x = 2,376.75

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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.