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Finding the Fourth Proportional to 3,110.63, 4,665.98 and 889.47

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Solution

The fourth proportional to 3,110.63, 4,665.98 and 889.47 is: 1,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.63 : 4,665.98 = 889.47 : x
  2. Step 2: Convert to fraction form
    3,110.63/4,665.98 = 889.47/x
  3. Step 3: Cross multiply
    3,110.63x = 4,665.98 × 889.47
  4. Step 4: Simplify right side
    3,110.63x = 4,150,244.78
  5. Step 5: Solve for x
    x = 4,150,244.78/3,110.63
  6. Step 6: Final answer
    x = 1,334.22

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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.