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Finding the Fourth Proportional to 2,736.02, 4,101.64 and 980.75

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Solution

The fourth proportional to 2,736.02, 4,101.64 and 980.75 is: 1,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.02 : 4,101.64 = 980.75 : x
  2. Step 2: Convert to fraction form
    2,736.02/4,101.64 = 980.75/x
  3. Step 3: Cross multiply
    2,736.02x = 4,101.64 × 980.75
  4. Step 4: Simplify right side
    2,736.02x = 4,022,683.43
  5. Step 5: Solve for x
    x = 4,022,683.43/2,736.02
  6. Step 6: Final answer
    x = 1,470.27

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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.