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Finding the Fourth Proportional to 1,977.80, 2,967.06 and 661.42

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Solution

The fourth proportional to 1,977.80, 2,967.06 and 661.42 is: 992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.80 : 2,967.06 = 661.42 : x
  2. Step 2: Convert to fraction form
    1,977.80/2,967.06 = 661.42/x
  3. Step 3: Cross multiply
    1,977.80x = 2,967.06 × 661.42
  4. Step 4: Simplify right side
    1,977.80x = 1,962,469.52
  5. Step 5: Solve for x
    x = 1,962,469.52/1,977.80
  6. Step 6: Final answer
    x = 992.25

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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.