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Finding the Fourth Proportional to 1,977.93, 2,967.91 and 883.01

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Solution

The fourth proportional to 1,977.93, 2,967.91 and 883.01 is: 1,324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.93 : 2,967.91 = 883.01 : x
  2. Step 2: Convert to fraction form
    1,977.93/2,967.91 = 883.01/x
  3. Step 3: Cross multiply
    1,977.93x = 2,967.91 × 883.01
  4. Step 4: Simplify right side
    1,977.93x = 2,620,694.21
  5. Step 5: Solve for x
    x = 2,620,694.21/1,977.93
  6. Step 6: Final answer
    x = 1,324.97

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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.