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Finding the Fourth Proportional to 2,331.34, 3,497.08 and 945.34

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Solution

The fourth proportional to 2,331.34, 3,497.08 and 945.34 is: 1,418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.34 : 3,497.08 = 945.34 : x
  2. Step 2: Convert to fraction form
    2,331.34/3,497.08 = 945.34/x
  3. Step 3: Cross multiply
    2,331.34x = 3,497.08 × 945.34
  4. Step 4: Simplify right side
    2,331.34x = 3,305,929.61
  5. Step 5: Solve for x
    x = 3,305,929.61/2,331.34
  6. Step 6: Final answer
    x = 1,418.04

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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.