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Finding the Fourth Proportional to 2,331.86, 3,497.73 and 945.18

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Solution

The fourth proportional to 2,331.86, 3,497.73 and 945.18 is: 1,417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.86 : 3,497.73 = 945.18 : x
  2. Step 2: Convert to fraction form
    2,331.86/3,497.73 = 945.18/x
  3. Step 3: Cross multiply
    2,331.86x = 3,497.73 × 945.18
  4. Step 4: Simplify right side
    2,331.86x = 3,305,984.44
  5. Step 5: Solve for x
    x = 3,305,984.44/2,331.86
  6. Step 6: Final answer
    x = 1,417.75

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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.