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Finding the Fourth Proportional to 3,243.64, 4,866.26 and 935.12

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Solution

The fourth proportional to 3,243.64, 4,866.26 and 935.12 is: 1,402.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.64 : 4,866.26 = 935.12 : x
  2. Step 2: Convert to fraction form
    3,243.64/4,866.26 = 935.12/x
  3. Step 3: Cross multiply
    3,243.64x = 4,866.26 × 935.12
  4. Step 4: Simplify right side
    3,243.64x = 4,550,537.05
  5. Step 5: Solve for x
    x = 4,550,537.05/3,243.64
  6. Step 6: Final answer
    x = 1,402.91

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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.