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Finding the Fourth Proportional to 3,242.75, 4,475.00 and 1,845.50

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Solution

The fourth proportional to 3,242.75, 4,475.00 and 1,845.50 is: 2,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.75 : 4,475.00 = 1,845.50 : x
  2. Step 2: Convert to fraction form
    3,242.75/4,475.00 = 1,845.50/x
  3. Step 3: Cross multiply
    3,242.75x = 4,475.00 × 1,845.50
  4. Step 4: Simplify right side
    3,242.75x = 8,258,603.27
  5. Step 5: Solve for x
    x = 8,258,603.27/3,242.75
  6. Step 6: Final answer
    x = 2,546.79

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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.