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Finding the Fourth Proportional to 1,988.83, 2,984.26 and 892.97

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Solution

The fourth proportional to 1,988.83, 2,984.26 and 892.97 is: 1,339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.83 : 2,984.26 = 892.97 : x
  2. Step 2: Convert to fraction form
    1,988.83/2,984.26 = 892.97/x
  3. Step 3: Cross multiply
    1,988.83x = 2,984.26 × 892.97
  4. Step 4: Simplify right side
    1,988.83x = 2,664,837.50
  5. Step 5: Solve for x
    x = 2,664,837.50/1,988.83
  6. Step 6: Final answer
    x = 1,339.90

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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.