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Finding the Fourth Proportional to 1,985.92, 2,976.78 and 890.80

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Solution

The fourth proportional to 1,985.92, 2,976.78 and 890.80 is: 1,335.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.92 : 2,976.78 = 890.80 : x
  2. Step 2: Convert to fraction form
    1,985.92/2,976.78 = 890.80/x
  3. Step 3: Cross multiply
    1,985.92x = 2,976.78 × 890.80
  4. Step 4: Simplify right side
    1,985.92x = 2,651,715.62
  5. Step 5: Solve for x
    x = 2,651,715.62/1,985.92
  6. Step 6: Final answer
    x = 1,335.26

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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.