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Finding the Fourth Proportional to 3,081.72, 4,623.19 and 890.47

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Solution

The fourth proportional to 3,081.72, 4,623.19 and 890.47 is: 1,335.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.72 : 4,623.19 = 890.47 : x
  2. Step 2: Convert to fraction form
    3,081.72/4,623.19 = 890.47/x
  3. Step 3: Cross multiply
    3,081.72x = 4,623.19 × 890.47
  4. Step 4: Simplify right side
    3,081.72x = 4,116,798.22
  5. Step 5: Solve for x
    x = 4,116,798.22/3,081.72
  6. Step 6: Final answer
    x = 1,335.88

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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.