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Finding the Fourth Proportional to 3,232.25, 4,848.42 and 923.75

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Solution

The fourth proportional to 3,232.25, 4,848.42 and 923.75 is: 1,385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.25 : 4,848.42 = 923.75 : x
  2. Step 2: Convert to fraction form
    3,232.25/4,848.42 = 923.75/x
  3. Step 3: Cross multiply
    3,232.25x = 4,848.42 × 923.75
  4. Step 4: Simplify right side
    3,232.25x = 4,478,727.98
  5. Step 5: Solve for x
    x = 4,478,727.98/3,232.25
  6. Step 6: Final answer
    x = 1,385.64

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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.