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Finding the Fourth Proportional to 1,968.02, 2,713.19 and 1,546.75

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Solution

The fourth proportional to 1,968.02, 2,713.19 and 1,546.75 is: 2,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.02 : 2,713.19 = 1,546.75 : x
  2. Step 2: Convert to fraction form
    1,968.02/2,713.19 = 1,546.75/x
  3. Step 3: Cross multiply
    1,968.02x = 2,713.19 × 1,546.75
  4. Step 4: Simplify right side
    1,968.02x = 4,196,626.63
  5. Step 5: Solve for x
    x = 4,196,626.63/1,968.02
  6. Step 6: Final answer
    x = 2,132.41

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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.