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Finding the Fourth Proportional to 3,580.92, 4,941.73 and 2,164.41

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Solution

The fourth proportional to 3,580.92, 4,941.73 and 2,164.41 is: 2,986.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.92 : 4,941.73 = 2,164.41 : x
  2. Step 2: Convert to fraction form
    3,580.92/4,941.73 = 2,164.41/x
  3. Step 3: Cross multiply
    3,580.92x = 4,941.73 × 2,164.41
  4. Step 4: Simplify right side
    3,580.92x = 10,695,929.83
  5. Step 5: Solve for x
    x = 10,695,929.83/3,580.92
  6. Step 6: Final answer
    x = 2,986.92

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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.