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Finding the Fourth Proportional to 3,243.63, 4,865.45 and 903.64

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Solution

The fourth proportional to 3,243.63, 4,865.45 and 903.64 is: 1,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.63 : 4,865.45 = 903.64 : x
  2. Step 2: Convert to fraction form
    3,243.63/4,865.45 = 903.64/x
  3. Step 3: Cross multiply
    3,243.63x = 4,865.45 × 903.64
  4. Step 4: Simplify right side
    3,243.63x = 4,396,629.66
  5. Step 5: Solve for x
    x = 4,396,629.66/3,243.63
  6. Step 6: Final answer
    x = 1,355.46

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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.