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Finding the Fourth Proportional to 2,321.92, 3,204.16 and 1,259.67

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Solution

The fourth proportional to 2,321.92, 3,204.16 and 1,259.67 is: 1,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.92 : 3,204.16 = 1,259.67 : x
  2. Step 2: Convert to fraction form
    2,321.92/3,204.16 = 1,259.67/x
  3. Step 3: Cross multiply
    2,321.92x = 3,204.16 × 1,259.67
  4. Step 4: Simplify right side
    2,321.92x = 4,036,173.79
  5. Step 5: Solve for x
    x = 4,036,173.79/2,321.92
  6. Step 6: Final answer
    x = 1,738.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.