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Finding the Fourth Proportional to 2,235.36, 3,354.12 and 937.20

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Solution

The fourth proportional to 2,235.36, 3,354.12 and 937.20 is: 1,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.36 : 3,354.12 = 937.20 : x
  2. Step 2: Convert to fraction form
    2,235.36/3,354.12 = 937.20/x
  3. Step 3: Cross multiply
    2,235.36x = 3,354.12 × 937.20
  4. Step 4: Simplify right side
    2,235.36x = 3,143,481.26
  5. Step 5: Solve for x
    x = 3,143,481.26/2,235.36
  6. Step 6: Final answer
    x = 1,406.25

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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.