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Finding the Fourth Proportional to 2,192.25, 3,288.92 and 653.25

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Solution

The fourth proportional to 2,192.25, 3,288.92 and 653.25 is: 980.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.25 : 3,288.92 = 653.25 : x
  2. Step 2: Convert to fraction form
    2,192.25/3,288.92 = 653.25/x
  3. Step 3: Cross multiply
    2,192.25x = 3,288.92 × 653.25
  4. Step 4: Simplify right side
    2,192.25x = 2,148,483.72
  5. Step 5: Solve for x
    x = 2,148,483.72/2,192.25
  6. Step 6: Final answer
    x = 980.04

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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.