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Finding the Fourth Proportional to 1,979.11, 2,968.35 and 746.35

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Solution

The fourth proportional to 1,979.11, 2,968.35 and 746.35 is: 1,119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.11 : 2,968.35 = 746.35 : x
  2. Step 2: Convert to fraction form
    1,979.11/2,968.35 = 746.35/x
  3. Step 3: Cross multiply
    1,979.11x = 2,968.35 × 746.35
  4. Step 4: Simplify right side
    1,979.11x = 2,215,428.02
  5. Step 5: Solve for x
    x = 2,215,428.02/1,979.11
  6. Step 6: Final answer
    x = 1,119.41

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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.