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Finding the Fourth Proportional to 1,966.76, 2,949.96 and 668.08

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Solution

The fourth proportional to 1,966.76, 2,949.96 and 668.08 is: 1,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.76 : 2,949.96 = 668.08 : x
  2. Step 2: Convert to fraction form
    1,966.76/2,949.96 = 668.08/x
  3. Step 3: Cross multiply
    1,966.76x = 2,949.96 × 668.08
  4. Step 4: Simplify right side
    1,966.76x = 1,970,809.28
  5. Step 5: Solve for x
    x = 1,970,809.28/1,966.76
  6. Step 6: Final answer
    x = 1,002.06

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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.