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Finding the Fourth Proportional to 1,581.99, 2,371.36 and 851.91

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Solution

The fourth proportional to 1,581.99, 2,371.36 and 851.91 is: 1,276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.99 : 2,371.36 = 851.91 : x
  2. Step 2: Convert to fraction form
    1,581.99/2,371.36 = 851.91/x
  3. Step 3: Cross multiply
    1,581.99x = 2,371.36 × 851.91
  4. Step 4: Simplify right side
    1,581.99x = 2,020,185.30
  5. Step 5: Solve for x
    x = 2,020,185.30/1,581.99
  6. Step 6: Final answer
    x = 1,276.99

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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.